Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 400-404.

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Approximation Theorems of Bernstein-Durrmeyer Operators in LBaM Spaces  

  

  1. 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);

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: LBaM spaces, Bernstein-Durrmeyer operators, smoothness modulus

CLC Number: