The Approximation Characteristics of Weighted <i>p</i>-Wiener Algebra

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.

Keywords

• Wiener algebra
• approximation numbers
• Kolmogorov numbers
• entropy numbers