Approximation By Kantorovich Type q-bernstein Operators

V. Gupta, A. Aral and M. Ozhavzali. APPROXIMATION BY q-szász-mirakyan-baskakov OPERATORS

F A S C I C U L I M A T H E M A T I C I Nr 48 212 V. Gupta, A. Aral and M. Ozhavzali APPROXIMATION BY -SZÁSZ-MIRAKYAN-BASKAKOV OPERATORS Abstract. In the present paper we propose the analogue of well known

ON THE (p, q) STANCU GENERALIZATION OF A GENUINE BASKAKOV- DURRMEYER TYPE OPERATORS

International Journal of Analysis and Applications ISSN 91-869 Volume 15 Number 17 18-145 DOI: 1894/91-869-15-17-18 ON THE p q STANCU GENERALIZATION OF A GENUINE BASKAKOV- DURRMEYER TYPE OPERATORS İSMET

arxiv: v3 [math.ca] 26 Nov 2015

Some approximation results on Bernstein-Schurer operators defined by p, q-integers Revised arxiv:504.05876v3 math.ca 6 Nov 05 M. Mursaleen, Md. Nasiruzzaman and Ashirbayev Nurgali Department of Mathematics,

Some Approximation Results For (p, q)-lupaş-schurer Operators

Filomat 3:1 018, 17 9 https://doi.org/10.98/fil180117k Published by Faculty of Sciences and Mathematics, University of Niš, Serbia Available at: http://www.pmf.ni.ac.rs/filomat Some Approimation Results

On the operators defined by Lupaş with some parameters based on q-integers

Mathematics Today Vol.34A April 018 - Special Issue 0-10 ISSN 0976-38, e-issn 455-9601 On the operators defined by Lupaş with some parameters based on q-integers Prashantkumar Patel St. Xavier s College

Journal of Inequalities in Pure and Applied Mathematics

Journal of Inequalities in Pure and Applied Mathematics ON A HYBRID FAMILY OF SUMMATION INTEGRAL TYPE OPERATORS VIJAY GUPTA AND ESRA ERKUŞ School of Applied Sciences Netaji Subhas Institute of Technology

On integral representations of q-gamma and q beta functions

On integral representations of -gamma and beta functions arxiv:math/3232v [math.qa] 4 Feb 23 Alberto De Sole, Victor G. Kac Department of Mathematics, MIT 77 Massachusetts Avenue, Cambridge, MA 239, USA

MOMENTS OF A q BASKAKOV BETA OPERATORS IN CASE 0 < q < Introduction

Journal of Classical Analysis Volume 2, Number 1 213, 9 22 doi:1.7153/jca-2-2 MOMENTS OF A BASKAKOV BETA OPERATORS IN CASE < < 1 A. R. GAIROLA, P.N.AGRAWAL, G.DOBHAL AND K. K. SINGH Abstract. In this paper

On a generalization of an approximation operator defined by A. Lupaş 1

General Mathematics Vol. 15, No. 1 (2007), 21 34 On a generalization of an approximation operator defined by A. Lupaş 1 Ulrich Abel and Mircea Ivan Dedicated to Professor Alexandru Lupaş on the ocassion

Rate of approximation for Bézier variant of Bleimann-Butzer and Hahn operators

General Mathematics Vol 13, No 1 25), 41 54 Rate of approximation for Bézier variant of Bleimann-Butzer and Hahn operators Vijay Gupta and Alexandru Lupaş Dedicated to Professor Emil C Popa on his 6th

Asymptotic expansion of multivariate conservative linear operators

Journal of Computational and Applied Mathematics 150 (2003) 219 251 www.elsevier.com/locate/cam Asymptotic expansion of multivariate conservative linear operators A.-J. Lopez-Moreno, F.-J. Muñoz-Delgado

Some Approximation Properties of Szasz-Mirakyan-Bernstein Operators

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol 7, No 4, 04, 49-48 ISSN 307-5543 wwwejpamcom Some Approximation Properties of Szasz-Mirakyan-Bernstein Operators Tuncay Tunç, Ersin Şimşek, Department

arxiv: v2 [math.ca] 23 Feb 2016

On p, q Baskakov-Durrmeyer-Stancu Operators Vishnu Narayan Mishra a,b,1, Shikha Pandey a a Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Ichchhanath

#A31 INTEGERS 18 (2018) A NOTE ON FINITE SUMS OF PRODUCTS OF BERNSTEIN BASIS POLYNOMIALS AND HYPERGEOMETRIC POLYNOMIALS

#A31 INTEGERS 18 (2018) A NOTE ON FINITE SUMS OF PRODUCTS OF BERNSTEIN BASIS POLYNOMIALS AND HYPERGEOMETRIC POLYNOMIALS Steven P. Clar Department of Finance, University of North Carolina at Charlotte,

Miskolc Mathematical Notes HU e-issn On bivariate Meyer-König and Zeller operators. Ali Olgun

Misolc Mathematical Notes HU e-issn 787-43 Vol. 4 (03), No 3, pp. 0-030 OI: 0.854/MMN.03.53 On bivariate Meyer-König and Zeller operators Ali Olgun Misolc Mathematical Notes HU e-issn 787-43 Vol. 4 (03),

arxiv: v4 [cs.gr] 23 Nov 2015

A de Casteljau Algorithm for Bernstein type Polynomials based on (p, q)-integers arxiv:507.040v4 [cs.gr 3 Nov 05 Khalid Khan, ) D.K. Lobiyal ) and Adem ilicman ) ) School of Computer and System Sciences,

A GENERALIZATION OF POST-WIDDER OPERATORS

ANALELE ŞTIINŢIFICE ALE UNIVERSITĂŢII AL.I. CUZA DIN IAŞI S.N.) MATEMATICĂ Tomul LXII 16 f.1 A GENERALIZATION OF POST-WIDDER OPERATORS BASED ON -INTEGERS BY DIDEM AYDIN ALI ARAL and GÜLEN BAŞCANBAZ-TUNCA

Generating Functions for the q-bernstein Bases

Generating Functions for the q-bernstein Bases Ron Goldman Department of Computer Science, Rice University Houston, Texas 77251 USA Plamen Simeonov Department of Computer and Mathematical Sciences University

A GENERALIZATION OF KANTOROVICH OPERATORS AND A SHAPE-PRESERVING PROPERTY OF BERNSTEIN OPERATORS

Bulletin of the Transilvania University of Braşov Vol 5(54, No. 2-212 Series III: Mathematics, Informatics, Physics, 65-68 A GENERALIZATION OF KANTOROVICH OPERATORS AND A SHAPE-PRESERVING PROPERTY OF BERNSTEIN

International Journal of Pure and Applied Mathematics Volume 60 No ,

International Journal of Pure and Applied Mathematics Volume 60 No. 3 200, 259-267 ON CERTAIN CLASS OF SZÁSZ-MIRAKYAN OPERATORS IN EXPONENTIAL WEIGHT SPACES Lucyna Rempulska, Szymon Graczyk 2,2 Institute

On Local Asymptotic Stability of q-fractional Nonlinear Dynamical Systems

Available at http://pvamuedu/aam Appl Appl Math ISSN: 1932-9466 Vol 11, Issue 1 (June 2016), pp 174-183 Applications and Applied Mathematics: An International Journal (AAM) On Local Asymptotic Stability

SOME RESULTS FOR MAX-PRODUCT OPERATORS VIA POWER SERIES METHOD. 1. Introduction

Acta Math. Univ. Comenianae Vol. LXXXVII, 2 (208), pp. 9 98 9 SOME RESULTS FOR MAX-PRODUCT OPERATORS VIA POWER SERIES METHOD T. YURDAKADIM and E. TAŞ Abstract. In this paper, we obtain an approximation

CATALAN TRIANGLE NUMBERS AND BINOMIAL COEFFICIENTS arxiv:6006685v2 [mathco] 7 Oct 207 KYU-HWAN LEE AND SE-JIN OH Abstract The binomial coefficients and Catalan triangle numbers appear as weight multiplicities

On the number of ways of writing t as a product of factorials

On the number of ways of writing t as a product of factorials Daniel M. Kane December 3, 005 Abstract Let N 0 denote the set of non-negative integers. In this paper we prove that lim sup n, m N 0 : n!m!

Research Article Generalized q-bernstein-schurer Operators and Some Approximation Theorems

Function Spaces and Applications Volume 03, Article ID 79834, 7 pages http://dx.doi.org/0.55/03/79834 Research Article Generalized -Bernstein-Schurer Operators and Some Approximation Theorems M. Mursaleen

A Fixed Point Theorem for JS-contraction Type Mappings with Applications to Polynomial Approximations

Filomat 31:15 (2017, 4969 4978 https://doi.org/10.2298/fil1715969a Published by Faculty of Sciences and Mathematics, University of Niš, Serbia Available at: http://www.pmf.ni.ac.rs/filomat A Fixed Point

SEVERAL PRODUCTS OF DISTRIBUTIONS ON MANIFOLDS

Novi Sad J. Math. Vol. 39, No., 2009, 3-46 SEVERAL PRODUCTS OF DISTRIBUTIONS ON MANIFOLDS C. K. Li Abstract. The problem of defining products of distributions on manifolds, particularly un the ones of

POLYNOMIAL SOLUTIONS OF PELL S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS

J. London Math. Soc. 67 (2003) 16 28 C 2003 London Mathematical Society DOI: 10.1112/S002461070200371X POLYNOMIAL SOLUTIONS OF PELL S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS J. MCLAUGHLIN

arxiv: v2 [math.ca] 20 Nov 2014

arxiv:149.115v [math.ca] Nov 14 Special functions associated with positive linear operators Ioan Raşa March 6, 18 Subjclass: 33C5, 33C45, 34B4, 41A36 Keywords: Hypergeometric function, Legendre polynomials,

SIMULTANEOUS APPROXIMATION BY A NEW SEQUENCE OF SZÃSZ BETA TYPE OPERATORS

REVISTA DE LA UNIÓN MATEMÁTICA ARGENTINA Volumen 5, Número 1, 29, Páginas 31 4 SIMULTANEOUS APPROIMATION BY A NEW SEQUENCE OF SZÃSZ BETA TYPE OPERATORS ALI J. MOHAMMAD AND AMAL K. HASSAN Abstract. In this

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics 233 2010) 1554 1561 Contents lists available at ScienceDirect Journal of Computational and Applied Mathematics journal homepage: wwwelseviercom/locate/cam

EQUIVALENCE OF TOPOLOGIES AND BOREL FIELDS FOR COUNTABLY-HILBERT SPACES

EQUIVALENCE OF TOPOLOGIES AND BOREL FIELDS FOR COUNTABLY-HILBERT SPACES JEREMY J. BECNEL Abstract. We examine the main topologies wea, strong, and inductive placed on the dual of a countably-normed space

Homework for MATH 4603 (Advanced Calculus I) Fall Homework 13: Due on Tuesday 15 December. Homework 12: Due on Tuesday 8 December

Homework for MATH 4603 (Advanced Calculus I) Fall 2015 Homework 13: Due on Tuesday 15 December 49. Let D R, f : D R and S D. Let a S (acc S). Assume that f is differentiable at a. Let g := f S. Show that

POLYNOMIAL SOLUTIONS TO PELL S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS arxiv: v1 [math.nt] 27 Dec 2018

POLYNOMIAL SOLUTIONS TO PELL S EQUATION AND FUNDAMENTAL UNITS IN REAL QUADRATIC FIELDS arxiv:1812.10828v1 [math.nt] 27 Dec 2018 J. MC LAUGHLIN Abstract. Finding polynomial solutions to Pell s equation

Two finite forms of Watson s quintuple product identity and matrix inversion

Two finite forms of Watson s uintuple product identity and matrix inversion X. Ma Department of Mathematics SuZhou University, SuZhou 215006, P.R.China Submitted: Jan 24, 2006; Accepted: May 27, 2006;

Defense Technical Information Center Compilation Part Notice

UNCLASSIFIED Defense Technical Information Center Compilation Part Notice ADP013714 TITLE: On the q-bernstein Polynomials DISTRIBUTION: Approved for public release, distribution unlimited This paper is

Pseudo-Boolean Functions, Lovász Extensions, and Beta Distributions

Pseudo-Boolean Functions, Lovász Extensions, and Beta Distributions Guoli Ding R. F. Lax Department of Mathematics, LSU, Baton Rouge, LA 783 Abstract Let f : {,1} n R be a pseudo-boolean function and let

Some approximation theorems in Math 522. I. Approximations of continuous functions by smooth functions

Some approximation theorems in Math 522 I. Approximations of continuous functions by smooth functions The goal is to approximate continuous functions vanishing at ± by smooth functions. In a previous homewor

Some New Inequalities Involving Generalized Erdélyi-Kober Fractional q-integral Operator

Applied Mathematical Sciences, Vol. 9, 5, no. 7, 3577-359 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/.988/ams.5.539 Some New Inequalities Involving Generalized Erdélyi-Kober Fractional q-integral Operator

ARCHIVUM MATHEMATICUM (BRNO) Tomus 32 (1996), 13 { 27. ON THE OSCILLATION OF AN mth ORDER PERTURBED NONLINEAR DIFFERENCE EQUATION

ARCHIVUM MATHEMATICUM (BRNO) Tomus 32 (996), 3 { 27 ON THE OSCILLATION OF AN mth ORDER PERTURBED NONLINEAR DIFFERENCE EQUATION P. J. Y. Wong and R. P. Agarwal Abstract. We oer sucient conditions for the

Journal of Inequalities in Pure and Applied Mathematics

Journal of Inequalities in Pure and Applied Mathematics ON SIMULTANEOUS APPROXIMATION FOR CERTAIN BASKAKOV DURRMEYER TYPE OPERATORS VIJAY GUPTA, MUHAMMAD ASLAM NOOR AND MAN SINGH BENIWAL School of Applied

Nonlinear equations. Norms for R n. Convergence orders for iterative methods

Nonlinear equations Norms for R n Assume that X is a vector space. A norm is a mapping X R with x such that for all x, y X, α R x = = x = αx = α x x + y x + y We define the following norms on the vector

ON FOURNIER GAGLIARDO MIXED NORM SPACES

Annales Academiæ Scientiarum Fennicæ Mathematica Volumen 36, 2, 493 58 ON FOURNIER GAGLIARDO MIXED NORM SPACES Robert Algervi and Vitor I. Kolyada Karlstad University, Department of Mathematics Universitetsgatan,

Ann. Acad. Rom. Sci. Ser. Math. Appl. Vol. 8, No. 1/2016. The space l (X) Namita Das

ISSN 2066-6594 Ann. Acad. Rom. Sci. Ser. Math. Appl. Vol. 8, No. 1/2016 The space l (X) Namita Das Astract In this paper we have shown that the space c n n 0 cannot e complemented in l n n and c 0 (H)

A CLASS OF SCHUR MULTIPLIERS ON SOME QUASI-BANACH SPACES OF INFINITE MATRICES

A CLASS OF SCHUR MULTIPLIERS ON SOME QUASI-BANACH SPACES OF INFINITE MATRICES NICOLAE POPA Abstract In this paper we characterize the Schur multipliers of scalar type (see definition below) acting on scattered

Investigating Geometric and Exponential Polynomials with Euler-Seidel Matrices

1 2 3 47 6 23 11 Journal of Integer Sequences, Vol. 14 (2011), Article 11.4.6 Investigating Geometric and Exponential Polynomials with Euler-Seidel Matrices Ayhan Dil and Veli Kurt Department of Mathematics

B n (x) zn n! n=0. E n (x) zn n! n=0

UDC 517.9 Q.-M. Luo Chongqing Normal Univ., China) q-apostol EULER POLYNOMIALS AND q-alternating SUMS* q-полiноми АПОСТОЛА ЕЙЛЕРА ТА q-знакозмiннi СУМИ We establish the basic properties generating functions

Zhi-Wei Sun Department of Mathematics, Nanjing University Nanjing , People s Republic of China

Ramanuan J. 40(2016, no. 3, 511-533. CONGRUENCES INVOLVING g n (x n ( n 2 ( 2 0 x Zhi-Wei Sun Deartment of Mathematics, Naning University Naning 210093, Peole s Reublic of China zwsun@nu.edu.cn htt://math.nu.edu.cn/

Nontrivial solutions for fractional q-difference boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations 21, No. 7, 1-1; http://www.math.u-szeged.hu/ejqtde/ Nontrivial solutions for fractional q-difference boundary value problems Rui A. C.

Constrained Ultraspherical-Weighted Orthogonal Polynomials on Triangle

International Journal of Mathematical Analysis Vol. 9, 15, no., 61-7 HIKARI Ltd, www.m-hiari.com http://dx.doi.org/1.1988/ijma.15.411339 Constrained Ultraspherical-Weighted Orthogonal Polynomials on Triangle

2 2 + x =

Lecture 30: Power series A Power Series is a series of the form c n = c 0 + c 1 x + c x + c 3 x 3 +... where x is a variable, the c n s are constants called the coefficients of the series. n = 1 + x +

arxiv: v4 [math.nt] 31 Jul 2017

SERIES REPRESENTATION OF POWER FUNCTION arxiv:1603.02468v4 [math.nt] 31 Jul 2017 KOLOSOV PETRO Abstract. In this paper described numerical expansion of natural-valued power function x n, in point x = x

arxiv: v1 [math.nt] 23 Jan 2019

SOME NEW q-congruences FOR TRUNCATED BASIC HYPERGEOMETRIC SERIES arxiv:1901.07962v1 [math.nt] 23 Jan 2019 VICTOR J. W. GUO AND MICHAEL J. SCHLOSSER Abstract. We provide several new q-congruences for truncated

L p -convergence of Bernstein Kantorovich-type operators. by Michele Campiti (Bari) and Giorgio Metafune (Lecce)

ANNALES POLONICI MATHEMATICI LXIII.3 (996) L p -convergence of Bernstein Kantorovich-type operators by Michele Campiti (Bari) and Giorgio Metafune (Lecce) Abstract. We study a Kantorovich-type modification

A P-ADIC SUPERCONGRUENCE CONJECTURE OF VAN HAMME

A P-ADIC SUPERCONGRUENCE CONJECTURE OF VAN HAMME ERIC MORTENSON Abstract. In this paper we prove a p-adic supercongruence conjecture of van Hamme by placing it in the context of the Beuers-lie supercongruences

Some Congruences for the Partial Bell Polynomials

3 47 6 3 Journal of Integer Seuences, Vol. 009), Article 09.4. Some Congruences for the Partial Bell Polynomials Miloud Mihoubi University of Science and Technology Houari Boumediene Faculty of Mathematics

q-series Michael Gri for the partition function, he developed the basic idea of the q-exponential. From

q-series Michael Gri th History and q-integers The idea of q-series has existed since at least Euler. In constructing the generating function for the partition function, he developed the basic idea of

Math 328 Course Notes

Math 328 Course Notes Ian Robertson March 3, 2006 3 Properties of C[0, 1]: Sup-norm and Completeness In this chapter we are going to examine the vector space of all continuous functions defined on the

Arkansas Tech University MATH 2924: Calculus II Dr. Marcel B. Finan

Arkansas Tech University MATH 2924: Calculus II Dr. Marcel B. Finan 8. Sequences We start this section by introducing the concept of a sequence and study its convergence. Convergence of Sequences. An infinite

e x = 1 + x + x2 2! + x3 If the function f(x) can be written as a power series on an interval I, then the power series is of the form

Taylor Series Given a function f(x), we would like to be able to find a power series that represents the function. For example, in the last section we noted that we can represent e x by the power series

Newton, Fermat, and Exactly Realizable Sequences

1 2 3 47 6 23 11 Journal of Integer Sequences, Vol. 8 (2005), Article 05.1.2 Newton, Fermat, and Exactly Realizable Sequences Bau-Sen Du Institute of Mathematics Academia Sinica Taipei 115 TAIWAN mabsdu@sinica.edu.tw

Hankel Operators plus Orthogonal Polynomials. Yield Combinatorial Identities

Hanel Operators plus Orthogonal Polynomials Yield Combinatorial Identities E. A. Herman, Grinnell College Abstract: A Hanel operator H [h i+j ] can be factored as H MM, where M maps a space of L functions

Symmetric functions and the Vandermonde matrix

J ournal of Computational and Applied Mathematics 172 (2004) 49-64 Symmetric functions and the Vandermonde matrix Halil Oruç, Hakan K. Akmaz Department of Mathematics, Dokuz Eylül University Fen Edebiyat

Bilinear generating relations for a family of q-polynomials and generalized basic hypergeometric functions

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA Volume 16, Number 2, 2012 Available online at www.math.ut.ee/acta/ Bilinear generating relations for a family of -polynomials and generalized

arxiv: v1 [math-ph] 28 Jan 2009

Some properties of deformed q-numbers Thierry C. Petit Lobão Instituto de Matemática, Universidade Federal da Bahia Campus Universitário de Ondina, 4070-0 Salvador BA, Brazil Pedro G. S. Cardoso and Suani

ON THE DEGREE OF APPROXIMATION BY POSITIVE LINEAR OPERATORS USING THE B SUMMABILITY METHOD.* A.S. RANADIVE and S.P. SINGH. for n +I ::; m ::; n +p

Revista Colombiana de Matematicas Vol. XXV (1991) pgs. 1-10 ON THE DEGREE OF APPROXIMATION BY POSITIVE LINEAR OPERATORS USING THE B SUMMABILITY METHOD.* by A.S. RANADIVE and S.P. SINGH ABSTRACT. The aim

Rademacher functions

Rademacher functions Jordan Bell jordan.bell@gmail.com Department of Mathematics, University of Toronto July 6, 4 Binary expansions Define S : {, } N [, ] by Sσ σ k k, σ {, }N. For example, for σ and σ,

Exercises from other sources REAL NUMBERS 2,...,

Exercises from other sources REAL NUMBERS 1. Find the supremum and infimum of the following sets: a) {1, b) c) 12, 13, 14, }, { 1 3, 4 9, 13 27, 40 } 81,, { 2, 2 + 2, 2 + 2 + } 2,..., d) {n N : n 2 < 10},

ON THE AVERAGE NUMBER OF REAL ROOTS OF A RANDOM ALGEBRAIC EQUATION

ON THE AVERAGE NUMBER OF REAL ROOTS OF A RANDOM ALGEBRAIC EQUATION M. KAC 1. Introduction. Consider the algebraic equation (1) Xo + X x x + X 2 x 2 + + In-i^" 1 = 0, where the X's are independent random

NEWMAN S INEQUALITY FOR INCREASING EXPONENTIAL SUMS

NEWMAN S INEQUALITY FOR INCREASING EXPONENTIAL SUMS Tamás Erdélyi Dedicated to the memory of George G Lorentz Abstract Let Λ n := {λ 0 < λ < < λ n } be a set of real numbers The collection of all linear

THE DENOMINATORS OF POWER SUMS OF ARITHMETIC PROGRESSIONS. Bernd C. Kellner Göppert Weg 5, Göttingen, Germany

#A95 INTEGERS 18 (2018) THE DENOMINATORS OF POWER SUMS OF ARITHMETIC PROGRESSIONS Bernd C. Kellner Göppert Weg 5, 37077 Göttingen, Germany b@bernoulli.org Jonathan Sondow 209 West 97th Street, New Yor,

Logical Connectives and Quantifiers

Chapter 1 Logical Connectives and Quantifiers 1.1 Logical Connectives 1.2 Quantifiers 1.3 Techniques of Proof: I 1.4 Techniques of Proof: II Theorem 1. Let f be a continuous function. If 1 f(x)dx 0, then

Generalized Taylor Series

Advances in Analysis, Vol. 3, No. 2, April 2018 https://dx.doi.org/10.22606/aan.2018.32001 67 Generalized Taylor Series Ivan Kupka Department of Mathematical Analysis and Numerical Mathematics, Faculty

Submitted Version to CAMWA, September 30, 2009 THE LAPLACE TRANSFORM ON ISOLATED TIME SCALES

Submitted Version to CAMWA, September 30, 2009 THE LAPLACE TRANSFORM ON ISOLATED TIME SCALES MARTIN BOHNER AND GUSEIN SH. GUSEINOV Missouri University of Science and Technology, Department of Mathematics

Journal of Inequalities in Pure and Applied Mathematics

Journal of Inequalities in Pure and Applied Mathematics THE EXTENSION OF MAJORIZATION INEQUALITIES WITHIN THE FRAMEWORK OF RELATIVE CONVEXITY CONSTANTIN P. NICULESCU AND FLORIN POPOVICI University of Craiova

Two contiguous relations of Carlitz and Willett for balanced series Wenchang Chu and Xiaoyuan Wang

Lecture Notes of Seminario Interdisciplinare di Matematica Vol 9(200), pp 25 32 Two contiguous relations of Carlitz and Willett for balanced series Wenchang Chu and Xiaoyuan Wang Abstract The modified

Kamenev-Type Oscillation Criteria for Higher-Order Neutral Delay Dynamic Equations

International Journal of Difference Equations ISSN 0973-6069, Volume 6, Number, pp. 6 20 http://campus.mst.edu/ijde Kamenev-Type Oscillation Criteria for Higher-Order Neutral Delay Dynamic Equations Lynn

AP Calculus Testbank (Chapter 9) (Mr. Surowski)

AP Calculus Testbank (Chapter 9) (Mr. Surowski) Part I. Multiple-Choice Questions n 1 1. The series will converge, provided that n 1+p + n + 1 (A) p > 1 (B) p > 2 (C) p >.5 (D) p 0 2. The series

d(x n, x) d(x n, x nk ) + d(x nk, x) where we chose any fixed k > N

Problem 1. Let f : A R R have the property that for every x A, there exists ɛ > 0 such that f(t) > ɛ if t (x ɛ, x + ɛ) A. If the set A is compact, prove there exists c > 0 such that f(x) > c for all x

Mathematics 324 Riemann Zeta Function August 5, 2005

Mathematics 324 Riemann Zeta Function August 5, 25 In this note we give an introduction to the Riemann zeta function, which connects the ideas of real analysis with the arithmetic of the integers. Define

Solutions Final Exam May. 14, 2014

Solutions Final Exam May. 14, 2014 1. Determine whether the following statements are true or false. Justify your answer (i.e., prove the claim, derive a contradiction or give a counter-example). (a) (10

Independence of some multiple Poisson stochastic integrals with variable-sign kernels

Independence of some multiple Poisson stochastic integrals with variable-sign kernels Nicolas Privault Division of Mathematical Sciences School of Physical and Mathematical Sciences Nanyang Technological

Solutions to Problem Sheet for Week 8

THE UNIVERSITY OF SYDNEY SCHOOL OF MATHEMATICS AND STATISTICS Solutions to Problem Sheet for Wee 8 MATH1901: Differential Calculus (Advanced) Semester 1, 017 Web Page: sydney.edu.au/science/maths/u/ug/jm/math1901/

SOME RESULTS ON q-analogue OF THE BERNOULLI, EULER AND FIBONACCI MATRICES

SOME RESULTS ON -ANALOGUE OF THE BERNOULLI, EULER AND FIBONACCI MATRICES GERALDINE M. INFANTE, JOSÉ L. RAMÍREZ and ADEM ŞAHİN Communicated by Alexandru Zaharescu In this article, we study -analogues of

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas

1 2 3 47 6 23 11 Journal of Integer Sequences, Vol. 11 2008, Article 08.2.7 A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas Tian-Xiao He 1 Department of Mathematics and Computer

Completion Date: Monday February 11, 2008

MATH 4 (R) Winter 8 Intermediate Calculus I Solutions to Problem Set #4 Completion Date: Monday February, 8 Department of Mathematical and Statistical Sciences University of Alberta Question. [Sec..9,

ON THE HÖLDER CONTINUITY OF MATRIX FUNCTIONS FOR NORMAL MATRICES

Volume 10 (2009), Issue 4, Article 91, 5 pp. ON THE HÖLDER CONTINUITY O MATRIX UNCTIONS OR NORMAL MATRICES THOMAS P. WIHLER MATHEMATICS INSTITUTE UNIVERSITY O BERN SIDLERSTRASSE 5, CH-3012 BERN SWITZERLAND.

Sums of Products of Bernoulli Numbers*

journal of number theory 60, 234 (996) article no. 00 Sums of Products of Bernoulli Numbers* Karl Dilcher Department of Mathematics, Statistics, and Computing Science, Dalhousie University, Halifax, Nova

Revisit nonlinear differential equations associated with Bernoulli numbers of the second kind

Global Journal of Pure Applied Mathematics. ISSN 0973-768 Volume 2, Number 2 (206), pp. 893-90 Research India Publications http://www.ripublication.com/gjpam.htm Revisit nonlinear differential equations

arxiv: v1 [math.fa] 2 Jan 2017

Methods of Functional Analysis and Topology Vol. 22 (2016), no. 4, pp. 387 392 L-DUNFORD-PETTIS PROPERTY IN BANACH SPACES A. RETBI AND B. EL WAHBI arxiv:1701.00552v1 [math.fa] 2 Jan 2017 Abstract. In this

arxiv:math/ v2 [math.ca] 19 Apr 2005

On hypergeometric functions and -Pochhammer symbol arxiv:math/45596v2 [mathca] 9 Apr 25 Rafael Díaz and Eddy Pariguan February, 28 Abstract We introduce the -generalized gamma function Γ, beta function

Math 0230 Calculus 2 Lectures

Math 00 Calculus Lectures Chapter 8 Series Numeration of sections corresponds to the text James Stewart, Essential Calculus, Early Transcendentals, Second edition. Section 8. Sequences A sequence is a

Catalan triangle numbers and binomial coefficients

Contemporary Mathematics Volume 73, 208 https://doiorg/0090/conm/73/435 Catalan triangle numbers and binomial coefficients Kyu-Hwan Lee and Se-jin Oh Abstract The binomial coefficients and Catalan triangle

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas Tian- Xiao He Department of Mathematics and Computer Science Illinois Wesleyan University Bloomington, IL 61702-2900, USA

arxiv: v1 [cs.it] 12 Jun 2016

New Permutation Trinomials From Niho Exponents over Finite Fields with Even Characteristic arxiv:606.03768v [cs.it] 2 Jun 206 Nian Li and Tor Helleseth Abstract In this paper, a class of permutation trinomials

Analysis II: Basic knowledge of real analysis: Part IV, Series

.... Analysis II: Basic knowledge of real analysis: Part IV, Series Kenichi Maruno Department of Mathematics, The University of Texas - Pan American March 1, 2011 K.Maruno (UT-Pan American) Analysis II

1 More concise proof of part (a) of the monotone convergence theorem.

Math 0450 Honors intro to analysis Spring, 009 More concise proof of part (a) of the monotone convergence theorem. Theorem If (x n ) is a monotone and bounded sequence, then lim (x n ) exists. Proof. (a)

JUST THE MATHS UNIT NUMBER DIFFERENTIATION APPLICATIONS 5 (Maclaurin s and Taylor s series) A.J.Hobson

JUST THE MATHS UNIT NUMBER.5 DIFFERENTIATION APPLICATIONS 5 (Maclaurin s and Taylor s series) by A.J.Hobson.5. Maclaurin s series.5. Standard series.5.3 Taylor s series.5.4 Exercises.5.5 Answers to exercises

Successive Derivatives and Integer Sequences

2 3 47 6 23 Journal of Integer Sequences, Vol 4 (20, Article 73 Successive Derivatives and Integer Sequences Rafael Jaimczu División Matemática Universidad Nacional de Luján Buenos Aires Argentina jaimczu@mailunlueduar

Fourth Week: Lectures 10-12

Fourth Week: Lectures 10-12 Lecture 10 The fact that a power series p of positive radius of convergence defines a function inside its disc of convergence via substitution is something that we cannot ignore