Lp Approximation by Multivariate Baskakov-Durrmeyer Operator

被引：4

作者：

Cao, Feilong ^{[1
]}

An, Yongfeng ^{[1
]}

机构：

[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

Positive Constant; Differential Operator; Sobolev Space; High Dimension; Standard Notation;

D O I：

10.1155/2011/158219

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to introduce and study multivariate Baskakov-Durrmeyer operator, which is nontensor product generalization of the one variable. As a main result, the strong direct inequality of L-p approximation by the operator is established by using a decomposition technique.

引用

页数：7

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