Approximation properties of the modification of q-Stancu-Beta operators which preserve x2

被引：4

作者：

Cai, Qing-Bo ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

q-integer; q-Stancu-Beta operators; weighted approximation;

D O I：

10.1186/1029-242X-2014-505

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 kind of modification of q-Stancu-Beta operators which preserve x(2) based on the concept of q-integer. We investigate the moments and central moments of the operators by computation, obtain a local approximation theorem, and get the pointwise convergence rate theorem and also a weighted approximation theorem.

引用

页数：8