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

ZHANG Xu, WU Ga-ridi

doi:10.13371/j.cnki.chin.q.j.m.2018.01.009

Chinese Quarterly Journal of Mathematics >

2018 , Vol. 33 >Issue 1: 73 - 78

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.01.009

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

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Department of Mathematics, Inner Mongolia Normal University

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.

Received date: 2017-03-05

Online published: 2020-10-19

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)；

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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

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ZHANG Xu, WU Ga-ridi . On Approximation by Two Kinds Modified Durrmeyer Rational Interpolation Operators in L_ω^M Spaces[J]. Chinese Quarterly Journal of Mathematics, 2018 , 33(1) : 73 -78 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.01.009

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