Approximation by Truncated Max-Product Sampling Kantorovich Operators in LP Spaces

被引：0

作者：

Jin, Mingwei ^{[1
]}

Yu, Dansheng ^{[1
]}

Zhou, Ping ^{[2
]}

机构：

[1] Hangzhou Normal Univ, Sch Math, Hangzhou 310036, Zhejiang, Peoples R China

[2] St Francis Xavier Univ, Dept Math & Stat, Antigonish, NS B2G 2W5, Canada

来源：

RESULTS IN MATHEMATICS | 2024年 / 79卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Max-product sampling operators; L-P-approximation; modulus of continuity; approximation rate; ORDER; ERROR;

D O I：

10.1007/s00025-023-02067-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain Jackson type theorem of approximation by truncated max-product sampling Kantorovich operators in L-P spaces. Our results generalize those of Coroianu et al. (Anal Appl 19:219-244, 2021) and Coroianu and Gal (J Integral Equat Appl 29:349-364, 2017). We use the equivalence between the K-functional and the modulus of continuity of f, and the Hardy-Littlewood maximal function as the main tools in the proofs, and also give some examples to apply the main result.

引用

页数：15

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