A note on approximation properties of q-Durrmeyer operators

被引：9

作者：

Zeng, Xiao-Ming ^{[1
]}

Lin, Diwang ^{[1
]}

Li, Lingling ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 03期

基金：

中国国家自然科学基金;

关键词：

q-Bernstein polynomials; Positive linear operators; q-Durrmeyer operators; Approximation process; Continuous functions; Q-BERNSTEIN POLYNOMIALS; CONVERGENCE; SATURATION;

D O I：

10.1016/j.amc.2010.01.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the approximation properties of q-Durrmeyer operators D(n,q)(f;x) for f is an element of C[0,1] are discussed. The exact class of continuous functions satisfying approximation process lim(n ->infinity)D(n,q)(f;x)=f(x) is determined. The results of the paper provide an elaboration of the previously-known ones on operators D(n,q). (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：819 / 821

页数：3

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