Bernstein-Durrmeyer算子在LBaM空间中的逼近定理

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 400-404.

Bernstein-Durrmeyer算子在L^Ba_M空间中的逼近定理

College of Mathematics, Inner Mongolia University for Nationalities School of Mathematical Sciences, Dalian University of Technology

收稿日期:2008-05-05 出版日期:2011-09-30 发布日期:2023-04-19
作者简介:SUN Zhi-ling(1979-), female, native of Chifeng, Inner Mongolia, a lecturer of Inner Mongolia University for Nationalities, M.S.D., engages in function approximation theory.
基金资助:
Supported by the 2007 Year School Grade Plan Item of Inner Mongolia University for Nationalities(MDX2007030)；

Approximation Theorems of Bernstein-Durrmeyer Operators in L^Ba_M Spaces

College of Mathematics, Inner Mongolia University for Nationalities School of Mathematical Sciences, Dalian University of Technology

Received:2008-05-05 Online:2011-09-30 Published:2023-04-19
About author:SUN Zhi-ling(1979-), female, native of Chifeng, Inner Mongolia, a lecturer of Inner Mongolia University for Nationalities, M.S.D., engages in function approximation theory.
Supported by:

Supported by the 2007 Year School Grade Plan Item of Inner Mongolia University for Nationalities(MDX2007030)；

摘要/Abstract

摘要： With the weighted modulus of smoothness as a metric, we prove the direct and the inverse theorems of approximation by Bernstein-Durrmeyer operators in LBa M spaces. Especially an approximation equivalent theorem of the operators is also obtained.

关键词: L^Ba_M spaces, Bernstein-Durrmeyer operators, smoothness modulus

Abstract: With the weighted modulus of smoothness as a metric, we prove the direct and the inverse theorems of approximation by Bernstein-Durrmeyer operators in LBa M spaces. Especially an approximation equivalent theorem of the operators is also obtained.

Key words: L^Ba_M spaces, Bernstein-Durrmeyer operators, smoothness modulus

中图分类号:

O177

孙志玲. Bernstein-Durrmeyer算子在L^Ba_M空间中的逼近定理[J]. 数学季刊, 2011, 26(3): 400-404.

Approximation Theorems of Bernstein-Durrmeyer Operators in L Ba M Spaces SUN Zhi-ling. Approximation Theorems of Bernstein-Durrmeyer Operators in L^Ba_M Spaces [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 400-404.

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