On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

被引：4
|
作者：
Han, Ling-Xiong [1 ]
Qi, Feng [2 ,3 ]
机构：
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[2] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China
[3] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 01期
关键词：
approximation; linear combination; direct theorem; inverse theorem; equivalent theorem; Orlicz space; modified summation operators of integral type; K-functional; modulus; FAMILY; CONVERGENCE;
D O I：
10.3390/math7010006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for linear combinations of modified summation operators of integral type in the Orlicz spaces.
引用
收藏
页数：10
相关论文
共 50 条
12345