Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces

被引：2

作者：

Han, Ling-Xiong ^{[1
]}

Bai, Yu-Mei ^{[1
]}

Qi, Feng ^{[2
,3
]}

机构：

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

[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454003, Peoples R China

[3] Hulunbuir Univ, Sch Math & Stat, Hulunbuir 021008, Inner Mongolia, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Direct theorem; Weak type inverse theorem; Orlicz space; Jensen's inequality; K-functional; Multivariate Baskakov-Durrmeyer operator;

D O I：

10.1186/s13660-023-03030-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Employing some properties of multivariate Baskakov-Durrmeyer operators and utilizing modified K-functional and a decomposition technique, the authors obtain the direct theorem and weak type inverse theorem in the Orlicz spaces.

引用

页数：22

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