| Approximation Theorems of Bernstein-Durrmeyer Operators in L_M~（Ba） Spaces |
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| 引用本文： | 孙志玲. Approximation Theorems of Bernstein-Durrmeyer Operators in L_M~（Ba） Spaces[J]. 数学季刊, 2011, 0(3): 400-404 |
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| 作者姓名： | 孙志玲 |
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| 作者单位： | College of Mathematics;Inner Mongolia University for Nationalities;School of Mathematical Sciences;Dalian University of Technology; |
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| 基金项目： | Supported by the 2007 Year School Grade Plan Item of Inner Mongolia University for Nationalities(MDX2007030) |
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| 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.
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| 关 键 词： | LBa M spaces Bernstein-Durrmeyer operators smoothness modulus |
Approximation Theorems of Bernstein-Durrmeyer Operators in L_M~(Ba) Spaces |
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| SUN Zhi-ling. Approximation Theorems of Bernstein-Durrmeyer Operators in L_M~(Ba) Spaces[J]. Chinese Quarterly Journal of Mathematics, 2011, 0(3): 400-404 |
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| Authors: | SUN Zhi-ling |
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| Affiliation: | SUN Zhi-ling (College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028000,China,School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China) |
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| 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. |
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| Keywords: | LBa M spaces Bernstein-Durrmeyer operators smoothness modulus |
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