On the convergence of a kind of q-gamma operators

被引：9

作者：

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

Zeng, Xiao-Ming ^{[2
]}

机构：

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

[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

q-integral; q-gamma operators; weighted approximation; rate of convergence;

D O I：

10.1186/1029-242X-2013-105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a kind of q-gamma operators based on the concept of a q-integral. We estimate moments of these operators and establish direct and local approximation theorems of the operators. The estimates on the rate of convergence and weighted approximation of the operators are obtained, a Voronovskaya asymptotic formula is also presented.

引用

页数：9

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