MOHAMMAD W. N. ALOMARI

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1 MOHAMMAD W. N. ALOMARI Contact Information Academic degree Major Research Interests Education Department of Mathematics Mobile: (+962) Faculty of Science and Information Tel: Nil Technology Jadara University Irbid, Jordan URL: Assistant Professor Mathematical Analysis Inequalities Analytic Inequalities, Theory of convex functions, Numerical Quadrature Rules, Means. Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia PhD in Mathematics, 2011 Dissertation Title: Several inequalities of Hermite Hadamard, Ostrowski and Simpson type for s convex, quasi convex and r convex mappings with some applications Advisor: Professor Maslina Darus. M.S., Mathematics, 2007 Yarmouk University, Irbid, Jordan B.A., Mathematics, Academic Experience Jerash University, Jordan. Assistant Professor February, September, 2013 Jadara University, Jordan. Assistant Professor October, present Taught undergraduate level course. Calculus (II, III, IV). Ordinary Differential Equations (I). Vector Analysis. Linear Algebra (I & II). Linear Programming and Game Theory. Mathematical Methods. Complex Analysis (I). Real Analysis (I & II). Topology (I). Numerical Analysis (II). Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia Graduate Student July, January 2011 Includes current Ph.D. research, Ph.D. and Masters level coursework and research/consulting projects. Editorial Boards Member of the editorial board of Science Alert ( including the following journals: Journal of Applied Sciences.

2 Trends in Applied Sciences Research. Asian Journal of Algebra. Asian Journal of Mathematics & Statistics. Asian Journal of Applied Sciences. Member of editorial board including the following journals: Journal of Mathematics and Statistics. Konuralp Journal of Mathematics. Referee of several international mathematical journals including: Applied Mathematics Letters. Applied Mathematics and Computation. Computers and Mathematics with Applications. Mathematical and Computer Modelling. Journal of Mathematical Analysis and Applications. Journal of Fractional Calculus and Applications. Reviewer of Mathematical Reviews (since 2011). Supervision A co-advisor for a Ph.D student Ahmet Ocak Akdemir, Atatürk University, Turkey (Prof. M. Emin Özdemir his principal supervisor), Publications 1. M.W. Alomari, New Grüss type inequalities for double integrals, Appl. Math. Comp., 228 (2014) M.W. Alomari and S.S. Dragomir, New Grüss type inequalities for Riemann Stieltjes integral with monotonic integrators and applications, Ann. Funct. Anal., 5 (2014), no. 1, M.W. Alomari and S.S. Dragomir, Some Grüss type inequalities for the Riemann Stieltjes integral with Lipschitzian integrators, Konuralp J. Math., accepted. 4. M.W. Alomari, New Inequalities of Steffensen s type for s convex functions, Afrika Matematika, 2013, doi: /s M.W. Alomari and S.S. Dragomir, Various error estimations for several Newton Cotes quadrature formulae in terms of at most first derivative and applications in numerical integration, Jordan J. Math. & Stat., accepted. 6. M.W. Alomari, A companion of the generalized trapezoid inequality and applications, Journal of Math. Appl., 36 (2013), M.W. Alomari, Difference between two Stieltjes integral means, Kragujevac J. Math., to appear 8. M.W. Alomari, A sharp bound for the Čebyšev functional of convex or concave functions, Chinese J. Math., Volume 2013, Article ID , 3 pages 9. M.W. Alomari and S.S. Dragomir, Mercer-Trapezoid rule for Riemann Stieltjes integral with applications, Journal of Advances in Mathematics, 2 (2) (2013), M.W. Alomari, S.S. Dragomir and U.S. Kirmaci, Generalizations of the Hermite Hadamard type inequalities for functions whose derivatives are s-convex, Acta et Commentationes Universitatis Tartuensis de Mathematica, 17 (2) (2013),

3 11. S. Hussain and M.W. Alomari, Weighted Ostrowski and Čebyšev type inequalities and applications, Konuralp J. Math., 1 (2) (2013), M.W. Alomari and Z. Liu, New error estimations for the Milne s quadrature formula in terms of at most first derivatives, Konuralp J. Math., 1 (1) 2013, M.W. Alomari, A companion of Ostrowski s inequality for the Riemann Stieltjes integral b f(t)du(t), where f is of bounded variation and u is of r H Hölder type and applications, a Appl. Math. Comput., 219 (2013), M.W. Alomari, New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann Stieltjes integrals and applications, Ukrainian Mathematical Journal, 65 (7) 2013, M.W. Alomari and S. Hussain, An inequality of Ostrowski s type for preinvex functions with applications, Tamsui Oxford J. Math. Sci., 29 (1) (2013), M.W. Alomari, A generalization of companion inequality of Ostrowski s type for mappings whose first derivatives are bounded and applications and in numerical integration, Trans. J. Math. Mech., 4(2) (2012), M.W. Alomari, Bounds for the Riemann Stieltjes integral via s convex integrand or integrator, Acta et Commentationes Universitatis Tartuensis de Mathematica, 16 (2) (2012), M.W. Alomari, M.E. Özdemir and H. Kavurmaci, On companion of Ostrowski inequality for mappings whose first derivatives absolute value are convex with applications, Miskolc Mathematical Notes, 13 (2) (2012), M.A. Latif, M.W. Alomari, and S. Hussain, On Ostrowski-type inequalities for functions whose derivatives are m-convex and (α, m)-convex functions with applications, Tamkang J. Math., 43 (4) (2012), M.W. Alomari, On approximation of the Riemann Stieltjes integral and applications, Publications de l Institut Mathematique, 92 (106) (2012), M.W. Alomari, A companion of Dragomir s generalization of Ostrowski s inequality and applications in numerical integration, Ukrainian Mathematical Journal, 64 (4) 2012, M.W. Alomari, A companion of Ostrowski s inequality for mappings whose first derivatives are bounded and applications in numerical integration, Kragujevac Journal of Mathematics, 36 (2012), M.W. Alomari, Some Grüss type inequalities for Riemann-Stieltjes integral and applications, Acta Mathematica Universitatis Comenianae, 81 (2) (2012), M.W. Alomari, A companion of Ostrowski s inequality with applications, Trans. J. Math. Mech., (TJMM), 3 (2011), M. Alomari, M. Darus and U.S. Kirmaci, Some inequalities of Hermite-Hadamard type for s-convex functions, Acta Mathematica Scientia, 2011, 31 B(4) : S. Hussain, M.A. Latif and M. Alomari, Generalized double integral Ostrowski type inequality on time scale, Appl. Math. Lett., 24 (8) (2011), M. Alomari and S. Hussain, Two inequalities of Simpson type for quasi-convex functions and applications, Appl. Math. E-Notes, 11 (2011) M.E. Özdemir, E. Set and M. Alomari, Integral inequalities via several kind of convexity, Creative Mathematics and Informatics, 20 (2011), M. Alomari and M. Darus, On some inequalities of Simpson-type via quasi-convex functions and applications, Trans. J. Math. Mech., (TJMM), 2 (2010),

4 30. M. Alomari, M. Darus and S.S. Dragomir, New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, Tamkang J. Math., 41 (2010), M. Alomari, M. Darus, S.S. Dragomir and P. Cerone, Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Appl. Math. Lett., 23 (2010), M. Alomari, M. Darus, S.S. Dragomir and U. Kirmaci, On fractional differentiable s-convex functions, Jordan J. Math and Stat., (JJMS), 3 (1) (2010), M. Alomari, M. Darus and U. Kirmaci, Refinements of Hadamard-type inequalities for quasiconvex functions with applications to trapezoidal formula and to special means, Comp. Math. Appl., 59 (2010), M. Alomari and M. Darus, Féjer inequality for double integrals, Facta Universitatis: Ser. Math. Inform., 24 (2009), M. Alomari and M. Darus, On the Hadamard s inequality for log-convex functions on the coordinates, J. Ineq. Appl., 2009, Article ID , 13 pages, doi: /2009/ M. A. Latif and M. Alomari, On Hadamard-type inequalities for h-convex functions on the co-ordinates, Int. J. Math. Anal., 3 (33) (2009), M. A. Latif and M. Alomari, Hadamard-type inequalities for product two convex functions on the co-ordinates, Inter. Math. Forum, 3 (47) (2009), M. Alomari and M. Darus, Some Ostrowski type inequalities for convex differentiable mappings, Lecture series on geometric function theory, series II, Edited by M. Darus, K. Al-Shaqsi and S. Sivasubramanian, (2009) M. Alomari and M. Darus, Grüss type inequalities for Lipschitzian convex mappings on the coordinates, Lecture series on geometric function theory, series I, Edited by M. Darus and K. Al-Shaqsi, (2009) M. Alomari and M. Darus, On means of complex numbers, Proceedings International Symposium on New Development of Geometric Function Theory and its Applications (GFTA), Universiti Kebangsaan Malaysia (2008). 41. M. Alomari and M. Darus, A mapping connected with Hadamard-type inequalities in 4- variables, Int. Journal of Math. Anal., 2 (13) (2008), M. Alomari and M. Darus, The Hadamard s inequality for s-convex function of 2-variables on the co-ordinates, Int. Journal of Math. Anal., 2 (13) (2008), M. Alomari and M. Darus, The Hadamard s inequality for s-convex function, Int. Journal of Math. Anal., 2 (13) (2008), M. Alomari and M. Darus, Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sci., 3 (32) (2008), M. Alomari and M. Darus, Refinements of s-orlicz convex functions in normed linear spaces, Int. J. Contemp. Math. Sci., 3 (32) (2008), M. Alomari and M. Darus, Hadamard-type inequalities for s convex functions, Inter. Math. Forum, 3 (40) (2008), M. Alomari and M. Darus, On co-ordinated s convex functions, Inter. Math. Forum, 3 (40) (2008),

5 Submitted papers Papers in preparation 1. M.W. Alomari, Some Steffensen s type inequalities, (with S. Hussain and Z. Liu). 2. M.W. Alomari, Some new Grüss type inequalities, (with S. Hussain). 3. M.W. Alomari, New inequalities of Grüss Lupaş type and applications for selfadjoint operators. 4. M.W. Alomari, A companion of the generalized trapezoid inequality and applications. 5. M.W. Alomari, A companion of Ostrowski s inequality for the Riemann Stieltjes integral b f(t)du(t), where f is r H Hölder type and u is of bounded variation and applications. a 6. M.W. Alomari, A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation. 7. M.W. Alomari, A weighted companion for the Ostrowski and the generalized trapezoid inequalities for mappings of bounded variation, (with M.A. Latif). 8. M.W. Alomari, A companion of Grüss type inequality for Riemann Stieltjes integral and applications. 9. M.W. Alomari, A generalization of Grüss type inequality for Stieltjes integral and applications. 1. M.W. Alomari, Comparing two Stieltjes integral means with different integrands and applications for selfadjoint operators, in preparation. 2. M.W. Alomari, Comparing two Stieltjes integral means with different integrators and applications for selfadjoint operators, in preparation. 3. M.W. Alomari, A composite Mercer Trapezoid rule for the Riemann Stieltjes integral (II), in preparation. 4. M.W. Alomari, A composite Mercer Trapezoid rule for the Riemann Stieltjes integral (I), in preparation. 5. M.W. Alomari, New bounds for the Dragomir Fedotov functional and applications for selfadjoint operators, in preparation. 6. M.W. Alomari, Inequalities of Steffensen s type for convex functions, in preparation. 7. M.W. Alomari, New Apéry s type inequalities, in preparation. 8. M.W. Alomari, New inequalities of Steffensen s type, in preparation. 9. M.W. Alomari, Various Approximations via Darst Pollard Beesack inequality, in preparation. 10. M.W. Alomari, Bounding the Dragomir Fedotov functional via Beesack inequality and applications, in preparation. 11. M.W. Alomari, Some Stekloffs type inequalities, in preparation. 12. M.W. Alomari, A New generalization of weighted Ostrowski type inequalities for mappings of bounded variation, (with S. Hussain), in preparation. 13. M.W. Alomari, A weighted Guessab Schmeisser companion of Ostrowski integral inequality for differentiable mappings and applications, in preparation. 14. M.W. Alomari, On the generalized Jensen s Divergence, in preparation. 15. M.W. Alomari, A three point quadrature rule for the Riemann Stieltjes integral with applications, (with S.S. Dragomir), in preparation. 16. M.W. Alomari, Some Grüss type inequalities for the Stieltjes integral via Lipschitzian integrators, (with S.S. Dragomir), in preparation.

6 Conferences and Seminars 1. Seminar on Ostrowski type inequalities with applications, at Universiti Kebangsaan Malaysia, May, Workshop: Symposium on Geometric Function Theory and its Applications, at Universiti Kebangsaan Malaysia during, October, 7-8, Workshop: Symposium on Geometric Function Theory and its Applications, at Universiti Kebangsaan Malaysia during, August, Presenter in the International Symposium on Geometric Function Theory and its Applications (GFTA 2008), at Universiti Kebangsaan Malaysia, Nov., 10-13, 2008.

HERMITE HADAMARD TYPE INEQUALITIES FOR FRACTIONAL INTEGRALS

HERMITE HADAMARD TYPE INEQUALITIES FOR FRACTIONAL INTEGRALS MARIAN MATŁOKA Abstract: In the present note, we have established an integral identity some Hermite-Hadamard type integral ineualities for the