APPROXIMATION BY MULTIVARIATE BASKAKOV-KANTOROVICH OPERATORS IN ORLICZ SPACES

被引：2

作者：

Han, Ling-Xiong ^{[1
]}

Li, Wen-Hui ^{[2
]}

Qi, Feng ^{[3
,4
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028043, Inner Mongolia, Peoples R China

[2] Zhengzhou Univ Sci & Technol, Dept Fundamental Courses, Zhengzhou 450064, Henan, Peoples R China

[3] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Henan, Peoples R China

[4] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2020年 / 28卷 / 02期

关键词：

Equivalent theorem; direct theorem; approximation; multivariate Baskakov-Kantorovich operator; Orlicz space; Jensen's inequality; K-functional; WEIGHTED MORREY; ROUGH KERNEL; COMMUTATORS;

D O I：

10.3934/era.2020037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Utilizing some properties of multivariate Baskakov-Kantorovich operators and using K-functional and a decomposition technique, the authors find two equivalent theorems between the K-functional and modulus of smoothness, and obtain a direct theorem in the Orlicz spaces.

引用

页码：721 / 738

页数：18

共 35 条

[1] Direct Results for Certain Summation-Integral Type Baskakov-Szasz Operators [J].