两类修正的Durrmeyer有理插值算子在L_ω^M空间内的逼近

张旭, 吴嘎日迪

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

数学季刊 >

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

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

两类修正的Durrmeyer有理插值算子在L_ω^M空间内的逼近

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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.

收稿日期: 2017-03-05

网络出版日期: 2020-10-19

基金资助

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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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

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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摘要

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.

关键词： Weighted Orlicz spaces; Rational interpolation type operator; Jackson type estimation

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张旭, 吴嘎日迪 . 两类修正的Durrmeyer有理插值算子在L_ω^M空间内的逼近[J]. 数学季刊, 2018 , 33(1) : 73 -78 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.01.009

Abstract

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

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