The Approximation Characteristics of Weighted p-Wiener Algebra-Reference-Cited by-同舟云学术

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The Approximation Characteristics of Weighted p-Wiener Algebra

Published:2023-09-19 Issue:18 Volume:11 Page:3974
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Chen Ying¹,Pan Xiangyu¹,Xu Yanyan¹^ORCID,Chen Guanggui²^ORCID

Affiliation:

1. School of Science, Xihua University, Chengdu 610039, China

2. Graduate School, Xihua University, Chengdu 610039, China

Abstract

In this paper, we study the approximation characteristics of weighted p-Wiener algebra AωpTd for 1≤p<∞ defined on the d-dimensional torus Td. In particular, we investigate the asymptotic behavior of the approximation numbers, Kolmogorov numbers, and entropy numbers associated with the embeddings id:AωpTd→ATd and id:AωpTd→LqTd for 1≤p, q<∞, where ATd is the Wiener algebra defined on the d-dimensional torus Td.

Funder

Talent Introduction Project in Xihua University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3974/pdf

Reference24 articles.

1. Pietsch, A. (1987). Eigenvalues and s-Numbers, Cambridge University Press.

2. Approxmative dimension and bases in nuclear spaces;Mitjangin;Usp. Mat. Nauk.,1961

3. Pietsch, A. (1980). Operator Ideals, North-Holland.

4. Über die beste Annäherung von Funktionen einer Funktionklasse;Kolmogorov;Ann. Math.,1936

5. Widths of sets in function spaces and the theory of best approximations;Tikhomirov;Uspekhi Mat. Nauk.,1960

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