On the convergence of a kind of q -gamma operators

Journal of inequalities and applications

Qing-Bo Cai¹ 

关键词: q-integral;    q-gamma operators;    weighted approximation;    rate of convergence;   

DOI  :  10.1186/1029-242X-2013-105

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:41A10, 41A25, 41A36.

【 授权许可】

CC BY