Journal of Jilin University Science Edition

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Equivalent Theorem of Approximation by BaskakovDurrmeyerOperators in Orlicz Spaces L*Φ[0,∞)

HAN Lingxiong   

  1. College of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China
  • Received:2017-02-22 Online:2018-03-26 Published:2018-03-27
  • Contact: HAN Lingxiong E-mail:hlx2980@163.com

Abstract: The author considered the approximation properties of the BaskakovDurrmeyer operators in Orlicz spaces L*Φ[0,∞)generated by the Young function, and obtained the direct, inverse and equivalent theorem of the approximation by the BaskakovDurrmeyer operators by using the equivalence relationship between modified Kfunctional and continuous modulus.

Key words: Orlicz space, Young function, BaskakovDurrmeyer operator, Kfunctional

CLC Number: 

  • O174.41