Van Dung Nguyen

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20202022

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math.FA2021

Best $n$ -term approximation of diagonal operators and application to function spaces with mixed smoothness

Van Kien Nguyen, Van Dung Nguyen

In this paper we give exact values of the best $n$ -term approximation widths of diagonal operators between $ℓ_{p} (N)$ and $ℓ_{q} (N)$ with $0 < p, q \leq \infty$ . Th…

math.FA2020

$s$ -Numbers of Embeddings of Weighted Wiener Algebras

Van Dung Nguyen, Van Kien Nguyen, Winfried Sickel

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}…

Best n-term approximation of diagonal operators and application to function spaces with mixed smoothness

s-Numbers of Embeddings of Weighted Wiener Algebras

Best $n$ -term approximation of diagonal operators and application to function spaces with mixed smoothness

$s$ -Numbers of Embeddings of Weighted Wiener Algebras