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

$s$-Numbers of Embeddings of Weighted Wiener Algebras