Weighted approximation of functions with singularities by Bernstein operators

被引：1

作者：

Wei, Bao-rong ^{[1
]}

Zhao, Yi ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China

来源：

JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A | 2008年 / 9卷 / 10期

关键词：

Bernstein operators; functions with singularities; weighted approximation; pointwise estimates;

D O I：

10.1631/jzus.A0820015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

As an important type of polynomial approximation, approximation of functions by Bernstein operators is an important topic in approximation theory and computational theory. This paper gives global and pointwise estimates for weighted approximation of functions with singularities by Bernstein operators. The main results are the Jackson's estimates of functions f epsilon(W-w,W-lambda)(2) stop and f epsilon C-w, which extends the result of (Della Vecchia et al., 2004).

引用

页码：1451 / 1456

页数：6

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