Gamma算子加权逼近下的Stechkin-Marchaud不等式  

Stechkin-Marchaud Type Inequalities of Weighted Approximation for Gamma Operators

作　　者：唐小军[1] 王万鹏[1] 周宇生[1] 

机构地区：[1]贵阳学院数学系,贵州贵阳550005

出　　处：《贵阳学院学报（自然科学版）》2009年第2期5-6,9,共3页Journal of Guiyang University：Natural Sciences

基　　金：贵阳学院院级课题(200809)

摘　　要：本文利用K-泛函和光滑模的等价关系,研究Gamma算子加权逼近下的Stechkin-Marchaud不等式,并得到了Gamma算子关于ω2(f,t)的逆结果。Using the equivalence relation between K - functional and moduli of smoothness, the Stechkin - Marchaud Type Inequalities of Weighted Approximation for Gamma Operators are established. Moreover, the inverse result of Gamma Operators with ω^2φ（f,t）ω is obtained.

关 键 词：GAMMA算子 Stechkin-Marchaud不等式 加权逼近 

分 类 号：O151.1[理学—数学]