AN APPLICATION OF BERNSTEIN-DURRMEYER OPERATORS

作     者：Baohuai Sheng Chunping Zhang 

作者机构：Department of Mathematics Shaoxing College of Arts and Sciences Shaoxing Zhejiang 312000 P. R. China Department of Mathematics Ningbo University Ningbo Zhejiang 315211 P. R. China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2007年第23卷第1期

页      面：16-25页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the NSF of P.R.China(10471130) the NSF of Zhejiang Province(Y604003) 

主　　题：Bernstein-Durrmeyer operator translation network approximation 

摘      要：In the present paper, we find that the Bernstein-Durrmeyer operators, besides their better applications in approximation theory and some other fields, are good tools in constructing translation network. With the help of the de la Vallée properties of the Bernstein-Durrmeyer operators a sequence of translation network operators is constructed and its degree of approximation is dealt.