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Gamma算子加权逼近下的Stechkin-Marchaud不等式
引用本文:唐小军,王万鹏,周宇生.Gamma算子加权逼近下的Stechkin-Marchaud不等式[J].贵阳金筑大学学报,2009(2):5-6,9.
作者姓名:唐小军  王万鹏  周宇生
作者单位:贵阳学院数学系;
基金项目: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ω^2φ(f,t)ω的逆结果。

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

Stechkin-Marchaud Type Inequalities of Weighted Approximation for Gamma Operators
TANG Xiao-jun WANG Wan-peng ZHOU Yu-sheng.Stechkin-Marchaud Type Inequalities of Weighted Approximation for Gamma Operators[J].Journal of Jinzhu University of Guiyang,2009(2):5-6,9.
Authors:TANG Xiao-jun WANG Wan-peng ZHOU Yu-sheng
Institution:TANG Xiao-jun WANG Wan-peng ZHOU Yu-sheng(Math Department,Guiyang University,Guiyang Guizhou 550005,China)
Abstract: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.
Keywords:Gamma Operators  Stechkin-Marchaud Type Inequalities  Weighted Approximation    
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