Generalized weighted Stechkin-Marchaud-type inequalities for Baskakov-Durrmeyer operators

被引：1
|
作者：
Guo, Feng [1 ]
机构：
[1] Taizhou Univ, Dept Math, Taizhou 317000, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 396卷 / 01期
关键词：
Baskakov-Durrmeyer operators; Stechkin-Marchaud-type inequality; K-functional; Weighted modulus of smoothness; STRONG CONVERSE INEQUALITIES;
D O I：
10.1016/j.jmaa.2012.06.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce new weighted modulus of smoothness omega(2)(phi beta)(f; t)(omega.lambda) and prove the generalization of Stechkin-Marchaud-type inequalities of weighted approximation for Baskakov-Durrmeyer operators, from which the inverse results of Baskakov-Durrmeyer operators with omega(2)(phi beta)(f; t)(omega.lambda) are obtained. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：49 / 57
页数：9
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