两类修正的Durrmeyer有理插值算子在L_ω^M空间内的逼近

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (1): 73-78.doi: 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

Department of Mathematics, Inner Mongolia Normal University

收稿日期:2017-03-05 出版日期:2018-03-30 发布日期:2020-10-19
作者简介: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.
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)；

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

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)；

摘要/Abstract

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

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

中图分类号:

O174.41

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.

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.

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两类修正的Durrmeyer有理插值算子在L_ω^M空间内的逼近

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

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