Approximation to the Sobolev classes \(W_q^r\) of functions of several variables by bilinear forms in \(L_p\) for \(2\leq q\leq p\leq\infty\) (Q1277414)
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scientific article; zbMATH DE number 1256789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation to the Sobolev classes \(W_q^r\) of functions of several variables by bilinear forms in \(L_p\) for \(2\leq q\leq p\leq\infty\) |
scientific article; zbMATH DE number 1256789 |
Statements
Approximation to the Sobolev classes \(W_q^r\) of functions of several variables by bilinear forms in \(L_p\) for \(2\leq q\leq p\leq\infty\) (English)
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17 August 1999
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Let \(W^r_q\) be the Sobolev space of functions \(f(x)\equiv f(x_1,\dots,x_l)\) defined on the unit cube in \(\mathbb{R}^\ell\). Approximation of \(f\in W^r_q\) by bilinear forms that are pairwise products of functions of fewer variables is studied.
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Kolmogorov width
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Sobolev space
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bilinear forms
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