BEST DIRECT AND CONVERSE RESULTS FOR LAGRANGE-TYPE OPERATORS  

作　　者：D. H. Mache D. X. Zhou 

机构地区：[1]Univ. of Dortmund, Germany and Academia Sinica, China,Univ. of Dortmund, Germany and Academia Sinica, China

出　　处：《Analysis in Theory and Applications》1995年第2期76-93,共18页分析理论与应用（英文刊）

基　　金：The second author is supported by the Alexander von Humboldt-Stiftung.

摘　　要： The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method Ln (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator n, for which we get a characterization for Lipschitz functions by the approximation rate of these methods.The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method Ln (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obtain with a matrix construction technique (see M. D. Ye and D. X. Zhou [11]) a Lagrange-type operator n, for which we get a characterization for Lipschitz functions by the approximation rate of these methods.

关 键 词：BEST DIRECT AND CONVERSE RESULTS FOR LAGRANGE-TYPE OPERATORS 

分 类 号：O177[理学—数学]