On Weighted L^p-Approximation by Weighted Bernstein-Durrmeyer Operators  

作　　者：Meiling Wang Dansheng Yu Dejun Zhao 

机构地区：[1]Department of Mathematics,Hangzhou Normal University [2]College of Fundamental Studies,Shanghai University of Engineering Science

出　　处：《Analysis in Theory and Applications》2018年第1期1-16,共16页分析理论与应用（英文刊）

摘　　要：In the present paper, we establish direct and converse theorems for weight-ed Bernstein-Durrmeyer operators under weighted L^p-norm with Jacobi weight w（x）=x^a（1-x）β.All the results involved have no restriction a,β〈1-1/p,which indicates that the weighted Bemstein-Durrmeyer operators have some better approxi- mation properties than the usual Bernstein-Durrmeyer operators.In the present paper, we establish direct and converse theorems for weight-ed Bernstein-Durrmeyer operators under weighted L^p-norm with Jacobi weight w（x）=x^a（1-x）β.All the results involved have no restriction a,β〈1-1/p,which indicates that the weighted Bemstein-Durrmeyer operators have some better approxi- mation properties than the usual Bernstein-Durrmeyer operators.

关 键 词：Weighted Lp-approximation weighted Bernstein-Durrmeyer operators direct andconverse theorems. 

分 类 号：O174.41[理学—数学]