文章基本信息

标题：Stechkin-Marchaud Type Inequalities in L_p for Linear Combination of Bernstein-Durrmeyer Operators
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作者：Feng Guo ; Meiqin Ke
期刊名称：Open Journal of Applied Sciences
印刷版ISSN：2165-3917
电子版ISSN：2165-3925
出版年度：2012
卷号：2
期号：4B
页码：228-232
DOI：10.4236/ojapps.2012.24B052
出版社：Scientific Research Publishing
摘要：In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we obtain the inverse result of approximation for linear combination of Bernstein-Durrmeyer operators with . Meanwhile we unify and extend some previous results.
关键词：Bernstein-Durrmeyer operators; linear combination; K-functional;Stechkin-Marchaud-type inequalities; modulus of smoothness