Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\) (Q5944204)
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scientific article; zbMATH DE number 1652796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\) |
scientific article; zbMATH DE number 1652796 |
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Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\) (English)
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27 September 2001
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The author proves a theorem on the asymptotic behavior of the average Kolmogorov \(\sigma\)-width of the Sobolev-Wiener class \(S^r_{pq}W\) with mixed smoothness in \(L_q(\mathbb{R}^d)\), where \(1<q\leq p<\infty\) and \(r\in \mathbb{N}^d\).
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