Bernstein-Schurer-Kantorovich operators based on q-integers

被引：17

作者：

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

Finta, Zoltan ^{[2
]}

Kumar, A. Sathish ^{[1
]}

机构：

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

[2] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 256卷

关键词：

q-Bernstein-Schurer-Kantorovich operators; q-Integers; Rate of convergence; Modulus of smoothness; Lipschitz type maximal function; A-statistical convergence; APPROXIMATION; INEQUALITIES; CONVERGENCE;

D O I：

10.1016/j.amc.2014.12.106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new Kantorovich type generalization of the q-Bernstein-Schurer operators defined in Muraru (2011). First, we give the basic convergence theorem and then obtain the local direct results for these operators, estimating the rate of convergence by using the modulus of smoothness and the Lipschitz type maximal function, respectively. We also obtain a Voronovskaja type theorem and investigate the statistical approximation properties of these operators with the help of a Korovkin type statistical approximation theorem given in Duman (2008). (C) 2015 Elsevier Inc. All rights reserved. nk

引用

页码：222 / 231

页数：10

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