The Degree of Approximation by(E,q)(C,α,β)Means in Orlicz Spaces  

(E,q)(C,α,β)平均在Orlicz空间内的逼近阶

作　　者：CHEN Lin WU Ga-ridi 陈琳;吴嘎日迪

机构地区：[1]College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China [2]Laboratory of Infinite-dimensional Hamiltonian System and Its Algorithm Application,Inner Mongolia,Hohhot 010022,China [3]Center for Applied Mathematical Science,Inner Mongolia,Hohhot 010022,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第4期399-406,共8页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11761055);The Fundamental Research Funds for the Inner Mongolia Normal University(Grant No.2023JBZD007);The First-Class Disciplines Project,Inner Mongolia Autonomous Region(Grant No.YLXKZX-NSD-001);Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(Grant No.NMGIRT2414).

摘　　要：In this paper,we study the trigonometric approximation problems of functions which belong to the Lipαclass,the Lip(ξ(t))class,and the W(L_(M)^(*);ξ(t))class in Orlicz spaces by using the tools Hölder inequality in Orlicz spaces,the second mean value theorem for integrals,and(E,q)(C,α,β)means etc.At the same time,we give the corresponding degree of approximation.

关 键 词：Orlice space Trigonometric approximation Degree of approximation 

分 类 号：O174.41[理学—数学]