Statistical approximation properties of the Durrmeyer type q-Bleimann, Butzer, and Hahn operators

被引：2

作者：

Cai, Qing-Bo ^{[1
,2
]}

Zeng, Xiao-Ming ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Quanzhou Normal Univ, Sch Math & Comp Sci, Quanzhou 362000, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

statistical convergence; q-integral; q-Bleimann; Butzer and Hahn operators; rates of statistical convergence; modulus of continuity; Lipschitz type maximal functions; CONVERGENCE;

D O I：

10.1002/mma.1520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a Durrmeyer-type generalization of q-Bleimann, Butzer, and Hahn operators based on q-integers and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. We also compute rates of statistical convergence of these q-type operators by means of the modulus of continuity and Lipschitz-type maximal function, respectively. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：1 / 9

页数：9

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