Baskakov-Durrmeyer算子线性组合加权逼近的Stechkin-Marchaud型不等式  

Stechkin-Marchaud-Type inequalities of weighted approximation for linear combination of Baskakov-Durrmeyer operators

作　　者：冯国[1] 

机构地区：[1]台州学院数学与信息工程学院,浙江临海317000

出　　处：《西南民族大学学报（自然科学版）》2010年第1期28-31,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金(No.10671019);台州学院重点科研项目(No.09ZD08)

摘　　要：讨论了光滑模与K-泛函的关系,给出Baskakov-Durrmeyer算子线性组合加权逼近Stechkin-Marchaud型不等式.同时,得到其逼近的逆定理.This paper studies the equivalence relation between K-functional and molduli of smoothness, and gives the weighted Stechkin-Marchaud-type inequalities of approximation for linear combination of Baskakov-Durrmeyer operators. Moreover, this paper also obtains the inverse result of weighted approximation for linear combination of Baskakov-Durrmeyer operators with ωo^2r （f ;t）w,p.

关 键 词：BASKAKOV-DURRMEYER算子 线性组合 Stechkin-Marchaud型不等式 K-泛函 加权逼近 

分 类 号：O174.41[理学—数学]