Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

被引：53

作者：

Mursaleen, M. ^{[1
]}

Khan, Asif ^{[1
]}

Srivastava, H. M. ^{[2
]}

Nisar, K. S. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Lagrange polynomial; q-Lagrange polynomial; Chan-Chyan-Srivastava polynomial; A-statistical convergence; Positive linear operators; Modulus of continuity; Lipschitz class; Rate of A-statistical convergence; Q-ANALOG; SUMMABILITY;

D O I：

10.1016/j.amc.2013.01.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：6911 / 6918

页数：8

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