Modulus of Smoothness and Approximation in Morrey-Banach Spaces

被引：1
作者：
Ho, Kwok-Pun [1 ]
机构：
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2025年 / 22卷 / 01期
关键词：
Best approximation; modulus of smoothness; trigonometric polynomials; Morrey space; Banach function space; TRIGONOMETRIC POLYNOMIALS; WEIGHTED LEBESGUE; OPERATORS; THEOREMS; EXTRAPOLATION; FACTORIZATION; INEQUALITIES; BOUNDEDNESS;
D O I：
10.1007/s00009-024-02784-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper extends the approximation inequalities for the modulus of smoothness to Morrey-Banach spaces. The estimates of the modulus of smoothness are controlled by the derivatives and the approximation by the trigonometric polynomials. As special cases of the main result, we have the approximation inequalities for the modulus of smoothness for the Morrey spaces with variables exponents.
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页数：15
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