Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (1): 73-78.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.009

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On Approximation by Two Kinds Modified Durrmeyer Rational Interpolation Operators in  L_ω^M Spaces

  

  1. Department of Mathematics, Inner Mongolia Normal University
  • Received:2017-03-05 Online:2018-03-30 Published:2020-10-19
  • About author:ZHANG Xu(1993-), female, native of Tongliao, Inner Mongolia, postgraduate, engages infunction approximation theory; WU, Ga-ridi(1962-), male(Meng), native of Tongliao, Inner Mongolia, Master Instructor, a professional of Inner Mongolia Normal University, engages in function approximation theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11761055); Supported by the Inner Mongolia Autonomous Region Natural Science Foundation of China(2017MS0123);

Abstract: This paper discusses the approximation problem of two kinds Durrmeyer rational interpolation operators in Orlicz spaces with weight functions,and gives a kind of Jackson type estimation of approximation order by means of continuous modulus, Hardy-Littlewood maximal function, convexity of N function and Jensen inequality. 

Key words: Weighted Orlicz spaces, Rational interpolation type operator, Jackson type estimation

CLC Number: