Ba空间中的Beta算子加Jacobi权的同时逼近  

Weighted Ba-Approximation with Jacobi Weights of Derivative by the Method of Beta Operator

作　　者：康正华[1] 吴嘎日迪[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2009年第1期17-21,25,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(200408020108)

摘　　要：利用加权K-泛函与加权Ditzian-Totik光滑模的等价性,给出了Beta算子及其导数在Ba空间中加Jacobi权逼近的正、逆结果和逼近阶的特征刻画.In this paper,the direct,converse results and the characterizations of the approximation rate of Jacobi-weighted Beta operator were obtained, and its derivative was also obtained in Ba-approximation by means of the equivalence of weighted Ditzian-Totik modulus and weighted K-functional.

关 键 词：BA空间 BETA算子 加权逼近 特征刻画 

分 类 号：O174.41[理学—数学]