The Approximation Characteristics of Weighted p -Wiener Algebra

Ying Chen, Xiangyu Pan, Yanyan Xu () and Guanggui Chen
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Ying Chen: School of Science, Xihua University, Chengdu 610039, China
Xiangyu Pan: School of Science, Xihua University, Chengdu 610039, China
Yanyan Xu: School of Science, Xihua University, Chengdu 610039, China
Guanggui Chen: Graduate School, Xihua University, Chengdu 610039, China

Mathematics, 2023, vol. 11, issue 18, 1-15

Abstract: In this paper, we study the approximation characteristics of weighted p -Wiener algebra A ω p T d for 1 ≤ p < ∞ defined on the d -dimensional torus T d . In particular, we investigate the asymptotic behavior of the approximation numbers, Kolmogorov numbers, and entropy numbers associated with the embeddings i d : A ω p T d → A T d and i d : A ω p T d → L q T d for 1 ≤ p , q < ∞ , where A T d is the Wiener algebra defined on the d -dimensional torus T d .

Keywords: Wiener algebra; approximation numbers; Kolmogorov numbers; entropy numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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