The Approximation Characteristics of Weighted p -Wiener Algebra.

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 . [ABSTRACT FROM AUTHOR]