Widths and distributions of values of the approximation functional on the Sobolev spaces with measure (Q1357537)
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scientific article; zbMATH DE number 1019676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Widths and distributions of values of the approximation functional on the Sobolev spaces with measure |
scientific article; zbMATH DE number 1019676 |
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Widths and distributions of values of the approximation functional on the Sobolev spaces with measure (English)
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11 September 1997
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In this paper the author calculates Kolmogorov and adaptive \((n, \varepsilon, \delta)\) -widths of the Sobolev space \(W_2^r\) equipped with a Gaussian measure in the \(L_q\) -norm. Analogous results are obtained for the unit balls \(BW_2^r\) in Sobolev spaces.
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widths of classes
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Sobolev spaces with measure
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distribution of values of approximation functional
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Gaussian measure
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