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Approximation Theorems of Bernstein-Durrmeyer Operators in L_M^(Ba) Spaces

Approximation Theorems of Bernstein-Durrmeyer Operators in L_M^(Ba) Spaces
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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. 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.
作者 SUN Zhi-ling
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第3期400-404,共5页 数学季刊(英文版)
基金 Supported by the 2007 Year School Grade Plan Item of Inner Mongolia University for Nationalities(MDX2007030)
关键词 LBa M spaces Bernstein-Durrmeyer operators smoothness modulus LBa M spaces Bernstein-Durrmeyer operators smoothness modulus
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