$s$-Numbers of Embeddings of Weighted Wiener Algebras

In this paper we study the asymptotic behavior of Kolmogorov, approximation, Bernstein and Weyl numbers of embeddings $ $\mathcal{A}$^{s,r}{\rm mix}($\mathbb{T}$^d) \to L_2($\mathbb{T}$^d)$and$$\mathcal{A}$^{s,r}{\rm mix}($\mathbb{T}$^d) \to $\mathcal{A}$($\mathbb{T}$^d)$,where$$\mathcal{A}$^{s,r}_{\rm mix}($\mathbb{T}$^d)$ is a weighted Wiener algebra of mixed smoothness $s$ and $\mathcal{A}({\mathbb{T}}^d)$ is the Wiener algebra itself, both defined on the $d$-dimensional torus ${\mathbb{T}}^d$. Our main interest consists in the calculation of the associated asymptotic constants.