7. Z.Ditzian, D.Jiang, D.Leviatan: Inverse theorem for best polynomial

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1 СПИСЪК НА ЦИТАТИ, общо 246 броя, без автоцитати и от съавтори. Справката е от scholar.google.de и е непълна: [1]. G.Tachev, Direct Estimation for approximation by Bernstein polynomials in Lp[0,1], 0 <p< 1, Math. Balkanica (N.S.), 3(1989), no. 1, е цитирана в : 1. Jorge Bustamante Converse Results, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [2]. G.Tachev, A direct theorem for the best algebraic approximation in Lp[0,1], 0 <p< 1. Math.Balkanica (N.S.) 4 (1990), no.4, MR-93 h:41027; ZB-822(1997), е цитирана в: 2. Z.Ditzian, V.H.Hristov,K.G.Ivanov: Moduli of smoothness and K-Funktionals in Lp, 0<p<1. Constructive Approximation (1995),11, Impact factor = Z.Ditzian, D.Jiang, D.Leviatan: Inverse theorem for best polynomial approximation in Lp,0<p<1. Proc. Amer. Math. Soc. (1994),120, Impact factor = Z.Ditzian Polynomial Approximation and r (f,t), in Survays in Approximation Theory, vol.3,2007, Impact Factor = J. Bustamante, Algebraic Approximation, Frontiers in Mathematics, Springer, (2012), [3]. G.Tachev,A converse theorem for the best algebraic approximation in Lp[-1,1], 0 <p< 1. Serdica 17(1991), no. 2-3, MR-93 b:41020; ZB-772(1993), е цитирана в: 6. Z.Ditzian, V.H.Hristov,K.G.Ivanov: Moduli of smoothness and K-Funktionals in Lp,0 <p< 1. Constructive Approximation (1995),11, Impact factor = Z.Ditzian, D.Jiang, D.Leviatan: Inverse theorem for best polynomial approximation in Lp,0<p<1. Proc. Amer. Math. Soc. (1994),120, Impact factor = W.Operstein: A Markov-Bernstein type inequality for algebraic polynomials in Lp,0 <p< 1. Journal of Approx.Theory (1996), 2, Impact factor = S.Li: The equivalence relations between the Ditzian-Totik moduli of smoothness and best polynomial approximation in the Besov spaces. Journal of Mathematical Analysis and Applications (1997),vol. 215, no.1, 114. Impact factor =

2 10. J. Bustamante, Algebraic Approximation, Frontiers in Mathematics, Springer, (2012), Z.Ditzian Polynomial Approximation and r (f,t) in Survays in Approximation Theory, vol.3,2007, Impact Factor = KA Kopotun, Polynomial approximation with doubling weights Journal of Approximation Theory, Volume 198, October 2015, Pages 24-62, Impact factor= [6]. G.Tachev,A note ontwo moduli of smoothness. Journal of Approximation Theory 81(1995), no.1, MR 97 d:41006; ZB820( 1997), 41021,IF=0.465 е цитирана в: 13. Z.Ditzian, V.H.Hristov,K.G.Ivanov: Moduli of smoothness and K-Funktionals in Lp,0 <p< 1. Constructive Approximation (1995),11, Impact factor = Z.Ditzian Polynomial Approximation and r (f,t) in Survays in Approximation Theory, vol.3,2007, Impact Factor = K.A. Kopotun, B.Popov, Moduli of smoothness of splines and applications in constrained approximation, Jaen J. Approx.; 2(1),2010, J. Bustamante, Algebraic Approximation, Frontiers in Mathematics, Springer, (2012), [7]. G.Tachev, A counterexample to the conjecture of W.Fillipow and P.Oswald. Ann. Inst. Archit. Genie Civil Soa 37( ), MR 96 k:42052; ZB е цитирана в: 17. W.I.Fillipov,P.Oswald: Representation in Lp By series of translates and dilates of one function. Journal of Approx. Theory (1995), 2, Impact factor = R.S. Laugessen: Affine synthesis onto Lp when 0<p<1, in Journal of Fourier Analysis and Applications, 14(2008),no. 2, Impact factor= [14]. Heinz H. Gonska and Gancho T.Tachev, The Second Ditzian-Totik- Zhou Modulus revisted: Rened Estimates for Positive Linear Operators, Rev. Anal. Numer. Theor. Approx. vol.32(2003),39-61; е цитирана в: 19. I.Gavrea: Estimates for Positive Linear Operators in terms of the second order Ditzian-Totik modulus of smoothness, Rendiconti Circ. Mat. Palermo (2) Suppl.) no.68,vol.i,2002, I.Gavrea: AQuadratic Spline of Sendov Type, Constructive Theory of Functions,Varna 2002,

3 21. R.Paltanea: Approximation by linear positive operators:estimates with second order moduli,universitatii "Transilvania Brasov, D.Kacso,Certain Bernstein-Durrmeyertypeoperators preservinglinear functions,ph.d.,2006,university of Duisburg-Essen J. Bustamante, Estimates for linear operators in terms of second-order moduli, in JMAA, 345(1),2008, Impact factor = D.Kacso,, Estimates for Iterates of Positive Linear Operators Preserving Linear Functions, in Result.Math.,54(2009), Impact factor= Jose A. Adell, Alberto Lekuona,Towards the best constant in front of the Ditzian-Totik modulus of smoothness, in Journal of Inequalities and Applications (JIA), December 2016, 2016:137 online available at Springer, may 2016, Impact factor= Jorge Bustamante Upper Error Estimates of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [15].G.Tachev, Piecewise linear interpolation with nonequidistant nodes, Numerical Functional Analysis and Optimization, vol.21,no.7-8,945955( 2000). MR-01 j:41005; ZB ,IF=0.441 е цитирана в : 27. FAN Meng;WANG Tongke;College of Mathematical Science,Tianjin Normal University;, Remainder estimationofcubic Lagrangeinterpolation for fractional smooth functions, in Journal of Tianjin Normal University(Natural Science Edition), 36(2016), no.2, [18]. Heinz H. Gonska and G.Tachev, On the constants in 2 - inequalities, in Rendiconti Circ.Mat. Palermo (2)Suppl.),no.68,vol.II,2002, MR-04c:41049; ZB е цитирана в: 28.R.Paltanea, Approximation Theory Using Positive Linear Operators,Birkhauser, D.Kacso, Certain Bernstein-Durrmeyer type operators preserving linear functions,ph.d.,2006,university of Duisburg-Essen. 30. J. Bustamante, Estimates of positive linear operators in terms of second-order moduli, in JMAA, 345(1),2008, Impact factor = 1.046

4 31.D.Kacso, Estimates for Iterates of Positive Linear Operators Preserving Linear Functions, in Result.Math.,54(2009), Impact factor= R Paltanea, Estimates for general positive linear operators on non compact interval using weighted moduli of continuity. -Studia Universitatis Babes-Bolyai, Mathematica, R Paltanea, ESTIMATES OF APPROXIMATION IN TERMS OF A WEIGHTED MODULUS OF CONTINUITY -Bulletin of the Transilvania University of Brasov, Vol, webbut.unitbv.ro 34. Jose A Adell, Alberto Lekuona,Towards the best constant in front of the Ditzian-Totik modulus of smoothness, in Journal of Inequalities and Applications (JIA), online available at Springer, may 2016, Impact factor= Păltănea, R., Asymptotic constant in Approximation of Twice Differential Functions by a class of positive Linear Operators, Results Math,, (2018) 73: available online at Springer since IF= [20]. L.Beutel,H.Gonska,D.Kacso G.Tachev, On the Second Moments of Variation-diminishing Splines, Duisburg: Schriftenreihe des Fachbereichs mathematik der Gerhard- Mercator-Universitaet SM-DU-530(2002),in Journal of Concrete and Applicable Mathematics,no.1, vol.2,2004, MR ; ZB е цитирана в: 36.P.Pitul: Evaluation of the approximation order ofpositive linear operators, in PhD-2007, Cluj-Napoca,Romania [21]. L.Beutel,H.Gonska,D.Kacso G.Tachev, On variation-diminishing Schoenberg operators:new quantitative statements, in Multivariate Approximation and Interpolation with Applications (ed. by M.Gasca), Monograas de la Academia de Ciencias de Zaragoza 20,2002,9-58. MR-04a:41027;ZB е цитирана в: 37. P.Pitul: Second moments of quadratic Schoenberg-Splines with knots of multiplicity two in the interior of the denition interval, in Mathematical Analysisi and Approx.Th.,2005, Mediamira,Clij-Napoca, P.Pitul: Evaluation of the approximation order of positive linear operators, in PhD-2007, Cluj-Napoca,Romania. 39. Marie-Laurence Mazur,Chebyshev-Schoenberg Operators, Constructive Approx., October 2011, Volume 34, Issue 2, pp Impact factor=1.98

5 40.Marie-Laurence Mazur, Piecewise Chebyshev-Schoenberg Operators: Shape preservation, approximation and space embedding, Journal of Approximation Theory, 166(2013), , Impact factor= J Nagler, P Cerejeiras, B Forster,Lower bounds for the approximation with variation-diminishing splines -arxiv preprint arxiv: , arxiv.orgm in Journal of Complexity, Elsevier, Volume 32, Issue 1, February 2016, Pages 81-91,IF= J Nagler, U Kahler, A lower bound for the uniform Schoenberg operator -arxiv preprint arxiv: , arxiv.org 43 A Ajavon,. Sur les prolongements de sous-copules papyrus. bib.umontreal.ca PhD Thesis.,CANADA 44. Johannes Nagler, Dissertation:Digital Curvature Estimation, An Operator Theoretic Approach,University of Passau, Germany, online available. 45. Vira Babenko, Approximation and numerical methods for Volterra and Fredholm integral equations for functions with values in L-spaces, manuscript, Oscar Vega-Amaya and Joaquin Lopez-Borbon, A Perturbation Approach for a Class of Discounted Approximate Value Iteration Algorithms*, TECHNICAL REPORT MARCH Oscar Vega-Amaya and Joaquin Lopez-Borbon,A Perturbation Approach to Approximate Value Iteration for Average Cost Markov Decision Process with Borel Spaces and Bounded Costs, TECHNICAL REPORT FEBRUARY Ana Maria Acu and Ioan Rasa, New estimates for the diferences Of positive linear operators,in Numerical Algorithms, 2016, online available at Springer , November 2016, Volume 73, Issue 3, pp IF= O Vega-Amaya,J Lopez-Borbon, A Perturbation Approach for a Class of Discounted Approximate Value Iteration Algorithms, Vira Babenko, Numerical analysis in l-spaces, PhD Thesis, The University of Utah, ProQuest Dissertations Publishing, Johannes Nagler, Uwe Kahler, Detection of C 2 -singularities using uniform spline approximations, online available at : Mathematical Methods in the Applied Sciences since , IF= Camelia Liliana MOLDOVAN, A CHOICE OF THE KNOTS IN SCHOENBERG SPLINE OPERATOR WITH AN IMPROVEMENT OF THE ORDER of approximation, Bulletin of the Transilvania University of Bra sov Vol 10(59), No , Series III: Mathematics, Informatics, Physics,

6 [23]. L.Beutel,H.Gonska,D.Kacso and G.Tachev,Variation-diminishing splines, revisted.2002,proc. of the International Symposium Dedicated to the 75th Anniversary of D.D.Stancu,Cluj -Napoca,Romania,2002, MR-04g:41013;ZB е цитирана в: 53.P.Pitul: Second moments of quadratic Schoenberg-Splines with knots of multiplicity two in the interior of the denition interval, in Mathematical Analysisi and Approx.Th.,2005, Mediamira,Clij-Napoca, P.Pitul: Evaluation of the approximation order of positive linear operators, in PhD-2007, Cluj-Napoca,Romania. 55. Ana Maria Acu:Properties and applications of Pn-simple functionals, in Positivity, available at Springer, 2016,vol.21,no1, , IF= Ana Maria Acu, Approximation by certain positive linear operators, Habilitation Thesis, V.Gupta, T.Rassias, in Univariate Gruss and Ostrowski Type Inequalities for Positive Linear Operators, Chapter in the book: Recent Advances in Constructive Approximation Theory, pp , part of the book series Springer Optimization and its Applications, (SOIA, vol.138),available online since at Springer. 58. V.Gupta, T.Rassias, Bivariate Gruss-Type Inequalities for Positive Linear Operators, Chapter in the book: Recent Advances in Constructive Approximation Theory, pp , part of the book series Springer Optimization and its Applications, (SOIA, vol.138),available online since at Springer. 59. Ana Maria Acu and Purshottam Agrawal, Better Approximation of functions by genuine Bernstein-Durrmeyer type operators, arxiv preprint, available online at Ana Maria Acu and Ioan Rasa, Estimates for the differences of positive linear operators and their derivatives, arxiv preprint, available online at Ana Maria Acu, Nesibe Manav and Augusta Ratju, Convergence Properties of Certain Positive Linear Operators, in Results in Mathematics, March 2019, 74:8, Impact Factor= [25] G.Tachev,Three open problems, in "RoGer Sibiu"(Proc. 5th Romanian-German Seminar on Approximation Theory and its Applications), Sibiu, ,Mathematical Analysis and Approximation Theory, ZB е цитирана в:

7 62.A.Lupas: On a problem proposed by G.Tachev, in Mathematical Analysis and Approx.Th.,2002, Burg Verlag, D.Kacso, Certain Bernstein-Durrmeyer type operators preserving linear functions,ph.d.,2006,university of Duisburg-Essen. 64. Jia-ding Cao,Heiner Gonska and Daniela Kacso, On the impossibility of certain lower estimates for sequences of linear operators, Mathematica Balkanica. New Series 01/2005; 19(1). 65. Ioan Gavrea and M. Ivan,An answer toa conjecture onpositive linear operators., Journal of Applied Functional Analysis, 2014, Vol. 9 Issue 1/2, p p. 66. Heiner Gonska, ON THE DEGREE OF APPROXIMATION IN VORONOVSKAJA'S THEOREM,STUDIA UNIV. BABESјBOLYAI, MATHEMATICA,, vol. LII, no.3, [26]. H.Gonska,I.Gavrea, R.Paltanea and G.Tachev,General Estimates with Ditzian-Totik moduli of second order, in East J. Approx. Th.,vol.9,no.2,2003, MR-04e:41006, ZB е цитирана в: 67.D.Kacso, Certain Bernstein-Durrmeyer type operators preserving linear functions,ph.d.,2006,university of Duisburg-Essen. 68. J. Bustamante, Estimates ofpositive linear operators in terms of second-order moduli, in JMAA, 345(1),2008, Impact factor = Altomare,F., Leonessa,V., Rasa L., On Bernstein-Schnabl operators on the unit interval, in Zeitschrift fuer Analysis und ihre Anwendungen, vol. 27(3), 2008, Impact factor= D.Kacso Estimates for Iterates of Positive Linear Operators Preserving Linear Functions, in Result.Math.,54(2009), Impact factor= F.Altomare, Korovkin-type Theorems and Approximation by Positive LinearOperators, Survays in Approximation Theory-SAT, 5(2010), Impact factor= K.Kopotun, D.Leviatan, A.Prymak and L.Shevchuk, Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials, Survays in Approximation Theory,(2011). Impact factor= A.Holhos, Contributions to the approximation of functions- Dissertation, 2010, Cluj-Napoca, Technical University, Romania. 74.Z Finta, Approximationby limit q-bernstein operator -Acta Universitatis Sapientiae, Mathematica, emis.ams.org

8 75. J. Bustamante and L. Morales de la Cruz, Positive linear operators and continuous functions on unbounded integrals, Jaen Journal on Approximation, 1(2009), no.2, Francesco Altomare, Mirella Cappelletti, Vita Leonessa, Ioan Rasa, Markov Operators, Positive Semigroups and Approximation Processes, BOOK, ISBN: , (2014), publ. by Walter de Gruyter GmbH, Berlin, Germany. 77. K.Kopotun, D.Leviatan, A. Prymak, I.A.Shevchuk, Yet another look atpositive linear operators, q-monotonicityand applications,journal of Approximation Theory, vol.210(2016),1-22, IF= Jose A Adell, Alberto Lekuona,Towards thebest constant in front of the Ditzian-Totik modulus of smoothness, in Journal of Inequalities and Applications (JIA), online available at Springer, may 2016, Impact factor= Bucurel Minea, Proprietгюi ale unor clase de operatori de aproximare Properties of some classes of approximation operators, PhD Thesis, 2013, Brasov University, Romania. 80. Jorge Bustamante Upper Error Estimates of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, БЕЗКРИЛА СВІТЛАНА ІВАНІВНА, ПРО МОДУЛІ НЕПЕРЕРВНОСТІ ВИЩИХ ПОРЯДКІВ ТА - МОНОТОННЕ НАБЛИЖЕННЯ P, дисертация Міністерство освіти і науки України Національний педагогічний університет імені М.П. Драгоманова Національна академія наук України Інститут математики, [28]. G.Tachev,Approximation by rational spline functions,(2006) in Calcolo,vol.43,(4), ZB MR-07k:41032.IF=0.621 е цитирана в: 82. P.Pitul: Evaluation of the approximation order of positive linear operators, in PhD-2007, Cluj-Napoca,Romania. 83.M.Wozniczka, A Negative Result on the Linear Precision of Certain Rational Schoenberg Splines,in General Math.,18(2010),no. 1, Marie-Laurence Mazur, Piecewise Chebyshev-Schoenberg Operators: Shape preservation, approximation and space embedding, Journal of Approximation Theory, 166(2013), , Impact factor= [32]. G.Tachev,Voronovskaja's Theorem Revisited, in Journal of Mathematical Analysis and Applications,343 (2008), , ZB MR-09c:41048.IF=1.046 е цитирана в: 85. Ion Gabriel STAN, CONVERGENCE PROPERTIES OF APPROXIMATION

9 OPERATORS OF FUNCTIONS, PhD Thesis, University of Brasov (ROMANIA), H.Gonska, M.Heilmann and I.Rasa: Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: C2-estimates, in Journal of Approx.Th.,160(2009), no. 1-2, Impact factor= H.Gonska and I.Rasa, A Voronovskaya estimate with second order modulus,in Proc. of the Fifth Int. Symposium 'Mathematical Inequalities,Sibiu, ,76-91, ISBN M.Amirfakhrian,Some Numerical Integration Methods based on Bernstein Polynomials,Int. J.Comp. Math.-IJCM, 88(2011),no. 6, Impact factor= Z.Finta, Generalized Voronovskaja theorem for Bernstein polynomials, in Carpathian Journal of Mathematics, 28(2012), no.2, , Impact factor= R.Paltanea and B.Minea, Quantitative Voronovskaja Type Theo- Rems For Positive Linear Operators on an Arbitrary Interval,in Proc. of the International Student Conference on Pure and Applied Mathematics, Editura Univ. Alexandru Ioan Cuza", Ia{csi, T Acar, A Aral, I Rasa, The new forms of Voronovskaya's theorem in weighted spaces -Positivity, March 2016, Volume 20, Issue 1, pp 25 40, Impact factor= Springer 92.T Acar Asymptotic Formulas for Generalized Szasz Mirakyan Operators -Applied Mathematics and Computation, 06/2015; 263: Elsevier, Impact factor= Z Finta, Generalized Voronovskaja theorem for q-bernstein polynomials -Applied Mathematics and Computation, Volume 246, 1 November 2014, Pages Elsevier, Impact factor= Ioan Rasa, Special functions associated withpositive linear operators, by, 2015, arxiv. 95. Ovidiu Cвrjг, Ionel-Dumitrel Ghiba, eds, Conference Paper: Proceedings of the International Student Conference on Pure and Applied Mathematics International Student Conference on Pure and Applied Mathematics; 01/ Gulsum Ulusoy and Tuncer Acar, q-voronovskaya type theorems for q-baskakov operators, Mathematical Methods in the Applied Sciences, DOI: /mma.3784, Volume 39, Issue 12 August 2016 Pages Impact Factor = Majid Amirfakhrian, Numerical Integration Methods by Using Bernstein Polynomials and Their Properties, in Conference: Proceedings of the 2009 International Conference on Scientic Computing, CSC 2009, July 13-16, 2009, Las Vegas, Nevada, USA.

10 98. Bucurel Minea, Proprietгюi ale unor clase de operatori de aproximare Properties of some classes of approximation operators, PhD Thesis, 2013, Brasov University, Romania. 99. Aysegul Erenзin and Ioan Rasa, Voronovskaya Type Theorems in Weighted Spaces, in Numerical Functional Analysis and Optimization, available online at Taylor and Francis, from ,Volume 37, Issue 12, Impact Factor= Jorge Bustamante Upper Error Estimates of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, Ulrich Abel and Hartmut Siebert, An improvement of the constant in Videnskii s inequality for Bernstein inequality, accepted in Georgian Mathematical Journal, online available since , Impact factor= [35]. G.Tachev,Approximation,numerical dierentiation and integration based on Taylor polynomial, in J. Inequal. Pure and Appl. Math. (JIPAM), 10(1),(2009), electronic,zb ,mr ,е цитирана в: 102. B.MESCI, Adsorptive removal of zinc by bentonite, Archives of enviromental protection, 37(2011), no.3, Impact factor= Horia-Nicolai Teodorescu,Taylor and Bi-local Piecewise Approximations with Neuro-Fuzzy Systems, Studies in Informatics and Control, 21(2012),no.4, Impact factor = Esser, P, (2011). The use of inertial measurement units for the determination of gait spatio-temporal parameters. PhD Thesis. Oxford Brookes University,UK Wang Tongke;She Haiyan;Liu Zhifang;School of Mathematical Sciences,Tianjin Normal University, THE REMAINDER ESTIMATIONSFOR LINEAR AND QUADRATICINTERPOLATIONSOFFRACTIONAL SMOOTH FUNCTIONS, in Mathematica Numerica Sinica,4 (2014), , (in chinese) JUAN PABLO JIMÉNEZ PERALTA, APROXIMACIONES CUADRÁTICAS CON POLINOMIOS DE TAYLOR Y VALORES PROPIOS PARA CLASIFICAR ALGUNAS FUNCIONES DE R 2 -> R, UNIVERSIDAD PEDAGÓGICA NACIONAL FACULTAD DE CIENCIA Y TECNOLOGÍA, DEPARTAMENTO DE MATEMÁTICAS BOGOTÁ, D.C., COLOMBIA, PHD Dissertation [36]. H.Gonska and G.Tachev, (2009),A Quantitative Variant of Voronovska ja's Theorem, in Results in Mathematics,53(2009), , MR

11 ZB IF=0.513 е цитирана в: 107. H.Render, Convergence of rational Bernstein operators, Applied Mathematics and Computation, Elsevier, Volume 232, 1 April 2014, Pages Impact factor= R.Paltanea and B.Minea, Quantitative Voronovskaja Type Theo- Rems For Positive Linear Operators on an Arbitrary Interval, in Proc. of the International Student Conference on Pure and Applied Mathematics, Editura Univ. Alexandru Ioan Cuza, Ia{csi, Ovidiu Carja, Ionel-Dumitrel Ghiba, eds, Conference Paper: Proceedings of the International Student Conference on Pure and Applied Mathematics International Student Conference on Pure and Applied Mathematics; 01/ Dan Miclaus, THE GENERALIZATION OF SOME RESULTSFOR SCHURER AND SCHURER-STANCU OPERATORS, REVUE D'ANALYSE NUM ERIQUE ET DE TH EORIE DE L'APPROXIMATION, Tome 40, No 1, 2011, pp Bucurel Minea, Proprietгюi ale unor clase de operatori de aproximare Properties of some classes of approximation operators, PhD Thesis, 2013, Brasov University, Romania Aysegul Erenзin and Ioan Rasa, Voronovskaya Type Theorems in Weighted Spaces, in Numerical Functional Analysis and Optimization, available online at Taylor and Francis, from , Impact Factor = Jorge Bustamante Upper Error Estimates of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, DAN MICLAUS and PETRU I. BRAICA, The generalization of some results for Bernstein and Stancu operators, in CREAT. MATH. INFORM., 20 (2011), No. 2, [38]. G.Tachev, Approximation of a continuous curve by its Bernstein- Bezier operators, Mediterranean J.of Math., 8(2011), no.3, е цитирана в: 115. M.A.Zaman and S.Chowdhury, Modied Bezier Curves with Shape-Preserving Characteristics using Dierential Evolution Optimization Algorithm, in Advances in Numerical Analysis, V.Gupta and M.Malik,Approximation for genuine summationintegral type link operators,in Applied Mathematics and Computations, 06/2015; 260: DOI: /j.amc Impact factor= Tawqur Rahman,Design of Guidance Methodfor Multiple Phases

12 of HypersonicVehicle Flight PHD THESIS JUNE 2014,DOI: /RG Thesis for: Doctorate,Advisor: Professor Chen Wanchun;Dr Zhou Hao 118. Jorge Bustamante Basic Properties of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [39.] H.Gonska and G.Tachev, Gruss-type inequality for positive linear operators with second order Ditzian-Totik moduli, Mat.Vesnik, 63(2011), но.4, MR-12g:41027, ZB SJR=0.031-(SCImago Journal Country Rank) е цитирана в: 119. T Acar, A Aral, I Rasa, The new forms of Voronovskaya's theorem in weighted spaces -Positivity, May Springer, Impact factor= T Acar, Asymptotic Formulas for Generalized Szasz Mirakyan Operators -Applied Mathematics and Computation, Elsevier,263 (2015) Impact factor= U Amato, B Della Vecchia, New Results on Rational Approximation - Results in Mathematics,June 2015, Volume 67, Issue 3-4, pp Springer,Impact factor=0, Gulsum Ulusoy and Tuncer Acar, q-voronovskaya type theorems for q-baskakov operators, Mathematical Methods in the Applied Sciences, DOI: /mma.3784, November 2015, Impact Factor = T Acar, Quantitative q-voronovskaya and q-gruss-voronovskayatype results for q-szasz Operators, GEORGIAN MATHEMATICAL JOURNAL Volume 23, Issue 4 (Dec 2016), , IF= Ana Maria Acu, Approximationby certainpositive linear operators, Habilitation Thesis, Aysegul Erenзin and Ioan Rasa, Voronovskaya Type Theorems in Weighted Spaces, in Numerical Functional Analysis and Optimization, available online at Taylor and Francis, from , Impact Factor = MSB Baxhaku, Disa Tipe Te Operatoreve, PhD Dissertation, University of Tirana, Albania, Sheetal Deshwal, P. N. Agrawal, Mihe şan-kantorovich operators of blending type, in General Mathematics, 2018, june 128. Purshottam Narain AGRAWAL,, Behar BAXHAKU,, Ruchi CHAUHAN, Quantitative Voronovskaya and Gr uss Voronovskaya type theorems by the blending variant of Sz asz operators

13 including Brenke type polynomials, accepted in Turkish Journal of Mathematics, march (2018), Impact Factor= Tarul Garg, P.N.Agrawal and Arun Kajla, Jain- Durrmeyer operators involving inverse Polya- Eggenberger distribution, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, accepted, april 2018, Springer, IF= A.Kajla, S.Deshwal and P.N.Agrawal, Quantitative Voronovskaja and Gruss-Voronovskaja-type theorems for Jain-Durrmeyer operators of blending type, in : Analysis and Mathematicsl Physics, 2018 (Springer), online available since June 2018 at Springer, IF= V.Gupta, T.Rassias, in Univariate Gruss and Ostrowski Type Inequalities for Positive Linear Operators, Chapter in the book: Recent Advances in Constructive Approximation Theory, pp , part of the book series Springer Optimization and its Applications, (SOIA, vol.138),available online since at Springer Pooja Gupta, P. N. Agrawal, Quantitative Voronovskaja and Gruss- Voronovskaja Type Theorems for operators of Kantorovich Operators involving Multiple Apell polynomials, in 2018 Iranian journal of science and technology. transaction a, science, IF= Gülen Başcanbaz-Tunca Ayşegül Erençin Ali Olgun, Quantitative Estimates for bivariate Stancu operators, in Mathematical Methods in the Applied Sciences, DOI: /mma.5288, October 2018, IF= Vijay Gupta and P. N. Agrawal, Approximation by Modified Paltanea Operators, November 2018, Publications de l Institut Mathematique, accepted [41.] G.Tachev, New estimates in Voronovskaja's theorem, in Numerical Algorithms, 59(2012), ZB , MR IF=1.128е цитирана в: 135. T Acar, Asymptotic Formulas for Generalized Szasz Mirakyan Operators -Applied Mathematics and Computation, Elsevier,263 (2015) Impact factor= Z Finta, Generalized Voronovskaja theorem for q-bernstein polynomials -Applied Mathematics and Computation, Elsevier,Impact factor= Gulsum Ulusoy and Tuncer Acar, q-voronovskaya type theorems for q-baskakov operators, Mathematical Methods in the Applied Sciences, DOI: /mma.3784, November 2015, Impact Factor =0.918.

14 138. Borislav R. Draganov and Ivan Gadjev, Direct and Converse Voronovskaya Estimates for the Bernstein Operator, March 2018, 73:11, in Results in Mathematics,Springer, available online since Impact Factor= Jose A. Adell and Daniel Cardenas Morales, Quantitative generalized Voronovskaja s formulae for Bernstein polynomials, in Journal of Approx. Theory, IF=0.931, available online at Elsevier since april [42]. G.Tachev, The complete asymptotic expansion for Bernstein operators, in Journal of Math. Anal. and Appl.,JMAA,385 (2012), ZB , MR IF=1.001 е цитирана в: 140. I.Gavrea and M.Ivan, On the rate of convergence of discretely dened operators, in Journal of Approximation Theory, Volume 432, Issue 1, 1 December 2015, Pages Impact factor= I.Gavrea and M.Ivan, An answer to a conjecture on Bernstein operators, J.Math.Anal. Appl., Elsevier, 390(2012), no.1, Impact factor = H.Render, Convergence of rational Bernstein operators, Applied Mathematics and Computations Volume 232,1April 2014,Pages Ѕ 2014.Imp.Factor= A.Dikmen and A.Lukashov, Weighted approximation by analogous of Bernstein operators for rational functions,acta Mathematica Hungarica, 143 > 2 > ,Impact factor= JA Adell, J Bustamante, JM Quesada, Estimates for the moments of Bernstein polynomials -Journal of Mathematical Analysis Volume 432, Issue 1, 1 December 2015, Pages Elsevier,Imp. Factor= I Gavrea, M Ivan, The Bernstein Voronovskaja-type theorem for positive linear approximation operators-journal of Approximation Theory, 01/2015; 192. DOI: /j.jat Impact Factor= Elsevier 146.I Gavrea,M Ivan,A simple proof of a generalized Bernstein Voronovskaja-type Theorem Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx., atps.tucn.ro Page 1. Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity ISSN , vol 12, 2014, pp atps.tucn.ro, I Gavrea, M Ivan, On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators, Mathematical Analysis, Approximation Theory and Their Applications Volume 111 of the series Springer Optimization and Its Applications, pp ,(2016), Springer.

15 148. Hassan Khosravian-Arab, Mehdi Dehghan, M. R. Eslahchi, A new approach to improve the order of approximation of the Bernstein operators: theory and applications, vavailable online at Numerical Algorithms, Springer, , Imp. Factor= Jorge Bustamante Upper Error Estimatesof BernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, Ioan Gavrea, Mircea Ivan, Complete asymptotic expansion related to conjecture on a Voronovskaja-type theorem, available online at Journal of Mathematical Analysis and Applications, since , Elsevier, Imp. Factor= Borislav R. Draganov and Ivan Gadjev, Direct and Converse Voronovskaya Estimates for the Bernstein Operator, March 2018, 73:11, in Results in Mathematics,Springer, available online since Impact Factor= Jose A. Adell and Daniel Cardenas Morales, Quantitative generalized Voronovskaja s formulae for Bernstein polynomials, in Journal of Approx. Theory, IF=0.931, available online at Elsevier since april V.Gupta, N. Malik, T.Rassias, Moment Generating Functions and Moments of Linear Positive Operators, Chapter in book: Modern Discrete Mathematics and Analysis, pp , January 2018, Springer, Springer Optimization and its Applications (SOIA, vol.131) [43]. G.Tachev,On multiplicativity of Bernstein operator,in Computers and Mathematics with Applications, CMA,62 (2011), no.8, ZB , MR IF=1.747 е цитирана в: 154. Yu Jiao and Zhao Yi, On multiplicativity of the Baskakov Operators, IEIT Journal of Adaptive Dynamic Computing, 2012(3), I Rasa,Special functions associated with positive linear operators -arxiv preprint arxiv: , arxiv.org 156.Umberto Amato, Biancamaria DellaVecchia,New Results on Rational Approximation,Results in Mathematics,June 2015,Volume 67, Issue 3-4, pp ,Impact factor=0, Ioan Rasa, Entropies and Heun functions associated with positive linear operators, Applied Mathematics and Computation, Volume 268, 1 October 2015, Pages , Impact Factor= Ana Maria Acu, Approximation by certain positive linear operators, Habilitation Thesis, 2016.

16 159. Jorge Bustamante Upper Error Estimatesof BernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [44]. G.Tachev, Pointwise Approximation by Bernstein Polynomials, in Bulletin of the Australian Mathematical Society, BAMS,85(2012), no.2, ZB ,MR IF=0.480е цитирана в: 160.S.H.Behiry, Numerical solutionof NonlinearFredholmIntegro-dirential equations by Hybrid of Block Pulse Functions and Normalized Bernstein Polynomials, 2013, available at hindawi.com,in Abstract and Applied Analysis, Jan. 2013, 1-8. Ipact factor= S.H.Behiry, Solution of nonlinear Fredholm integro-dirential equations using hybridof block pulse functions and normalized Bernstein polynomials, in Journal of Computationaland Applied Mathematics (JCAM), 260(2014), Ipact factor = F Mirzaee, MK Yari, SF Hoseini, A computational method based on hybrid of Bernstein and block-pulse functions for solving linear fuzzy Fredholm integral equations system -Journal of Taibah University for Science, Elsevier 163. K.Kopotun, D.Leviatan, A. Prymak, I.A.Shevchuk, Yet another look atpositive linear operators, q-monotonicity and applications, in Journal of Approximation Theory,vol.210(2016),1-22, IF= F Mirzaee, SF Hoseini -Hybrid functions of Bernstein polynomials and block-pulse functions for solving optimal control of the nonlinear Volterra integral equations, in Indagationes Mathematicae, Elsevier, Impact factor = Esmail Hesameddin, Mehdi Shahbazi, Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions, in Journal of Computational and Applied Mathematics, online available at Elsevier, IF= Jorge Bustamante Upper Error Estimatesof BernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, Jorge Bustamante Basic PropertiesofBernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, 2017.

17 168. Vahid Samadpour and Reza Ezzati, Numerical solution of two dimensional nonlinear fuzzy Fredholm integral equation of second kind using hybrid of block-pulse and Bernstein polynomials, July 2018, in Filomat, IF= l'universite Kasdi Merbah Ouargla, Algerie, PhD Thesis, , online (in Arabic) [45.] G.Tachev, The rate of approximation by rational Bernstein functions in terms of second order moduli of continuity, in Numerical Functional Analysis and Applications, 33(2) (2012), ZB , MR IF=0.500 е цитирана в: 170. H Render, Convergence of rational Bernstein operators -Applied Mathematics and Computation, Volume 232, 1 April 2014, Pages Elsevier,Imp. Factor= Umberto Amato, Biancamaria DellaVecchia,Weighting Shepardtype operators,in Computational and Applied Mathematics, June 2017, Volume 36, Issue 2, pp , IF= Ioan Gavrea and Mircea Ivan, On a new sequence ofpositive linear operators related to squared Bernsteinpolynomials, in Positivity, September 2017, Volume 21, Issue 3, pp , Impact factor= [46.] G.Tachev,From Bernstein polynomial to Lagrange interpolant, in Proc. of 2-nd Int. Conf. MDIS-Sibiu,Romania 2011,ISBN , Lucian Blaga University Press, Ed. Dana Simian, е цитирана в: 173. Umberto Amato1 and Biancamaria Della Vecchia, Bridging Bernstein and Lagrange polynomial, in MATHEMATICAL COMMUNICATIONS 20(2015), Umberto Amato1 and Biancamaria Della Vecchia, Modelling by Shepard-type curves and surfaces,in J. of Comp.Anal. and Appl., Jan2016, Vol. 20 Issue 1, p p., IF= M.Campiti, Convergence of Iterated Boolean type Sums and Their Iterates, in: Numerical Functional Analysis and Optimization, available at Taylor & Francis since june 2018, IF=

18 [47]. Sorin Gal and Gancho Tachev, On the Constant in The Lower Estimate for the Bernstein Operator, in Mathematica Balkanica, 27(2013), no 1-2, 39-51, ZB е цитирана в: 176. Păltănea, R., Asymptotic constant in Approximation of Twice Differential Functions by a class of positive Linear Operators, Results Math,, (2018) 73: available online at Springer since IF= Jorge Bustamante, Converise Results, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [48]. G.Tachev, On the conjecture of Cao, Gonska and Kacso, in Stud. Univ. Babes-Bolyai Math., 57(2012), no.1, MR е цитирана в: 178. Ioan Gavrea and Mircea Ivan, An answer to a conjecture on PLO accepted in JAFA-Journal of Applied Functional Analysis, Jan-Apr2014, Vol. 9 Issue 1/2, p p Jorge Bustamante, Basic Properties of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [49]. Margareta Heilmann and Gancho Tachev, Commutativity, Direct and Strong Converse Results for Phillips Operators, in East J. Approx. Th., 17(2011),no. 3, ZB ,MR е цитирана в : 180. Vijay Gupta and Neha Malik, APPROXIMATION WITH CERTAIN SZ_ASZ- MIRAKYAN OPERATORS, Khayyam J. Math. 3 (2017), no. 2, 90-97, DOI: /kjm Vijay Gupta, Combinations of integral operators,in Applied Mathematics and Computation, Volume 224, 1 November 2013, Pages , IF= V Gupta, RP Agarwal, [КНИГА] Convergence estimates in approximation theory Springer 183.NK Govil, V Gupta, Approximation properties of Phillips operators -Mathematics Without Boundaries, Springer 184.SG Gal, V Gupta,Approximation by complex Durrmeyertype operators in compact disks -Mathematics withoutboundaries, -Springer SG Gal, V Gupta,Approximation by complex Phillips Stancu operators in compact disks under exponential growth conditions -Applied Mathematics and Computation, Volume 234, 15 May 2014, Pages ,Impact factor=1.35.

19 186.V Gupta, RP Agarwal, Some More Results on the Rate of Convergence -Convergence Estimates in Approximation Theory, Springer 187. V Gupta, RP Agarwal, Complex Operators in Compact Disks Convergence Estimates in Approximation Theory, Springer 188. V Gupta, RP Agarwal, Rate of Convergence in Simultaneous Approximation -Convergence Estimates in Approximation Theory, 2014 Springer 189. V Gupta, RP Agarwal, Convergence for Bounded Functions on Bezier Variants -Convergence Estimates in Approximation Theory, 2014 Springer 190.V Gupta, RP Agarwal, Approximation by Certain Operators- Convergence Estimates in Approximation Theory, Springer 191.V Gupta, RP Agarwal, Rate of Convergence for Functions of Bounded Variation -Convergence Estimates in Approximation Theory, Springer Danyal Soybas, Approximation with modified Phillips operators, in Journal of Nonlinear Sciences and Applications, 2017, vol. 10, , Impact Factor= Nursel Cetin, On complex modified genuine SZASZ-DURRMEYER STANCU operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., Volume 68, Number 1, Pages 283ñ298 (2019), Available online: April 13, Saheb K. Al-Saidi and Abeer Mahdi Saleh, in Australian Journal of Basic and Applied Sciences, 10(2016), November 2016, V.Gupta, T.Rassias, P.N.Agrawal and A.M.Acu, in Quantitative Estimates, Chapter in the book: Recent Advances in Constructive Approximation Theory, pp.29-72, part of the book series Springer Optimization and its Applications, (SOIA, vol.138),available online since at Springer [50.] H.Gonska, J.Prestin and G.Tachev, New estimates on Holder approximation by Bernstein operators, acceptedin Appl. Math. Letters,26(2013), no.1,48-53.if=1.501,zb ,mr ,е цитирана в: 196. Mehmet Ali Ozarslan, New Korovkin Type Theorem for Non Tensor Meyer Konig and Zeller Operators,in Results in Mathematics, June 2016, Volume 69, Issue 3 4, pp , Impact factor= Jorge Bustamante Upper Error Estimatesof BernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, 2017.

20 198. Borislav R. Draganov, An Exact Strong Converse Inequality for the Weighted Simultaneous Approximation by the Bernstein Operator, Constructive Theory of Functions, Sozopol, 2016, in: Professor Marin Drinov Academic Publ. House (K.Ivanov, G.Nikolov and R.Uluchev Eds.)pp.75-97, [51]. G.Tachev, Global smoothness preservation with second order moduli of smoothness, in MAth. Slovaca, 63(2013), no. 5, , IF=0.394, MR , ZB е цитирана в: 199. Jorge Bustamante Upper Error Estimatesof BernsteinOperators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [52]. Teodora Zapryanova and Gancho Tachev, Generalized Inverse Theorem for Schoenberg Operator, in Journal of Modern Mathematics Frontier- JMMF, 1(2012), no.2, е цитирана в: 200.J Nagler,P Cerejeiras,B Forster -,Lowerbounds for the approximation with variation-diminishing splines,journal of Complexity, Volume 32, Issue 1, February 2016, Pages IF= J Nagler, U Kahler,A lower bound for the uniform Schoenberg operator -arxiv preprint arxiv: , arxiv.org 202. Johannes Nagler, Uwe Kahler, Detection of C 2 -singularities using uniform spline approximations, online available at : Mathematical Methods in the Applied Sciences since , IF=1.017 [53]. H.Gonska, J.Prestin, G.Tachev and D.X.Zhou, Simultaneous Approximation with Bernstein polynomials in Holder norms, Mathematische Nachrichten, 286(2013), no.4, , IF=0.576, MR , ZB е цитирана в : 203. Jorge Bustamante Upper Error Estimates of Bernstein Operators, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, On approximation of functions by algebraic polynomials in Hölder spaces, Mathematische Nachrichten, Volume 289, Issue 16 November 2016 Pages IF= Borislav R. Draganov, An Exact Strong Converse Inequality for the Weighted Simultaneous Approximation by the Bernstein Operator, Constructive Theory of Functions, Sozopol, 2016, in: Professor Marin Drinov Academic Publ. House (K.Ivanov, G.Nikolov and R.Uluchev Eds.)pp.75-97,

21 [55]. Margareta Heilmann and Gancho Tachev, Linear Combinations of Genuine Szasz-Mirakjan -Durrmeyer Operators, in Springer Proceedings in Mathematics and Statistics with Volume title Advances in Applied Mathematics and Approximation Theory-Contributions from AMAT 2012 Conference, Turkey, ed by G. Anastassiou and O. Duman,(2012), 5-th Chapter, e цитирана в: 206.Vijay Gupta, Combinations of integral operators,in Applied Mathematics and Computation, Volume 224, 1 November 2013, Pages , IF= Saheb K. Al-Saidi and Abeer Mahdi Saleh, in Australian Journal of Basic and Applied Sciences, 10(2016), November 2016, [56]. Teodora Zapryanova and Gancho Tachev, Approximation by the iterates of Bernstein operatpr, in AIP Conf. Proc., 1497(2012), , SJP=0.025, е цитирана в : 208. Jorge Bustamante Iterates of Bernstein Polynomials, Chapter in the Book Bernstein Operators and Their Properties, ISBN: , Springer International Publishing, , online available since april, [57]. Gacho Tachev, Refined Estimates for the Equivalence Between Ditzian-Totik Moduli of Smoothness and K-Functionals, Theory and Aplications of Mathematics and Computer Science, 2(2),2012, 48-54, e цитирана в: 209. Radu Paltanea, Maria Talpau Dimitriu, Estimates for Weighted K- functionals using the Least Concave Majorant of Weighted Moduli of Continuity, Numerical Functional Analysis and Optimization, [58]. Ioan Gavrea and Gancho Tachev,On multiplicativity of linear operators,in Journal of Mathematical Analysisand Applications-JMAA,408(2013), но.1, if=1.050, MR е цитирана в: 210.I Rasa Special functions associated with positive linear operators - arxiv preprint arxiv: , arxiv.org 211. Ioan Rasa, Entropies and Heun functions associated withpositive linear operators, Applied Mathematics and Computation,Volume 268, 1 October 2015, Pages , Impact Factor= Ana Maria Acu, Approximationby certainpositive linear operators, Habilitation Thesis, 2016.

22 213. Octavian Agratini, Properties of discrete non-multiplicative operators, Analysis and Mathematical Physics, august 2017, Springer IF= [59]. Vijay Gupta and Gancho Tachev, Approximation by Szasz-Baskakov operators, in Journal of Applied Functional Analysis-JAFA, 9(2014) (3-4), e цитирана в: 214.E Pandey, RK Mishra, SP Pandey, Approximation Properties of Some Modied Summation-Integral Type Operator -ijsce.org,2015.impact factor= VN Mishra,PSharma, Approximation by Szasz Mirakyan Baskakov Stancu operators -Afrika Matematika, December 2015, Volume 26, Issue 7 8, pp Springer Saheb K. Al-Saidi and Abeer Mahdi Saleh, in Australian Journal of Basic and Applied Sciences, 10(2016), November 2016, [60]. G.Tachev, Approximation of bounded continuous functions by linear combinations of PHILLIPS OPERATORS, in Demonstratio mathematica, 47(2014), no.3, , electronic only.zb е цитирана в: 217. V Gupta,N Malik, Approximation for genuine summation-integral type link operators -Applied Mathematics and Computation, Volume 260, 1 June 2015, Pages Elsevier,Impact factor= Danyal Soybas, Approximation with modified Phillips operators, in Journal of Nonlinear Sciences and Applications, 2017, vol. 10, , Impact Factor= Saheb K. Al-Saidi and Abeer Mahdi Saleh, in Australian Journal of Basic and Applied Sciences, 10(2016), November 2016, 1-7. [61] Vijay Gupta and Gancho Tachev, Approximation by linear combinations of complex Phillips operators in compact disks, in Results in Mathematics, 66(2014), no 1-2, e цитирана в : 220. A. Sathish Kumar, P. N. Agrawal, Tuncer Acar, QUANTITATIVE ESTIMATES FOR A NEW COMPLEX Q-DURRMEYER TYPE OPERATORS ON COMPACT DISKS, in July 2017 UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 221. Nursel Cetin, On complex modified genuine SZASZ-DURRMEYER STANCU operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., Volume 68, Number 1, Pages 283ñ298 (2019), Available online: April 13, 2018.