Szasz-Durrmeyer type operators based on Charlier polynomials

被引：47

作者：

Kajla, Arun ^{[1
]}

Agrawal, P. N. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷

关键词：

Szasz operator; Charlier polynomials; A-statistical convergence; Rate of convergence; Bounded variation; APPROXIMATION PROPERTIES; CONVERGENCE;

D O I：

10.1016/j.amc.2015.06.126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we introduce a Durrmeyer type modification of Sza'sz operators based on Charlier polynomials and study a Voronovskaja type asymptotic theorem, local approximation theorem, weighted approximation, statistical convergence and approximation of functions with derivatives of bounded variation for these operators. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1001 / 1014

页数：14

共 29 条

[1] Rate of convergence for generalized Szasz operators [J].

Acar, Tuncer ;

Gupta, Vijay ;

Aral, Ali .

BULLETIN OF MATHEMATICAL SCIENCES, 2011, 1 (01) :99-113

[2] Generalized Baskakov-Durrmeyer type operators [J].

Agrawal P.N. ;

Gupta V. ;

Sathish Kumar A. .

Rendiconti del Circolo Matematico di Palermo (1952 -), 2014, 63 (2) :193-209

[3] Generalized Baskakov-Szász type operators [J].

Agrawal, P.N. ;

Gupta, Vijay ;

Sathish Kumar, A. ;

Kajla, Arun .

Applied Mathematics and Computation, 2014, 236 :311-324

[4]

Agrawal P.N., 2010, P 1 INT C MATH STAT

[5]

[Anonymous], 2005, Classical and Quantum Orthogonal Polynomials in One Variable

[6]

[Anonymous], 1995, Turkish J. Math

[7]

Bernstein S. N., 1912, Comm. Soc. Math. Kharkov, V13, P1

[8]

Chihara T.S., 1978, INTRO ORTHOGONAL POL

[9]

DeVore Ronald A., 1993, Constructive Approximation, V303

[10] Statistical approximation by positive linear operators [J].

Duman, O ;

Orhan, C .

STUDIA MATHEMATICA, 2004, 161 (02) :187-197

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