Widths of a class of differentiable functions (Q801496)
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scientific article; zbMATH DE number 3879466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Widths of a class of differentiable functions |
scientific article; zbMATH DE number 3879466 |
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Widths of a class of differentiable functions (English)
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1983
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Kolmogorov's and Gelfand's widths of \(W^ r(A,B)\) are determined according to \textit{V. M. Tikhomirov}'s scheme [Mat. Sb., Nov. Ser. 80 (122), 290-304 (1969; Zbl 0204.133)]. Here \(W^ r(A,B)\) denotes the set of functions \(f\in W^ r[0,1]\) \((r=1,2,...)\) such that \(\sum^{r- 1}_{j=0}A_{ij}f^{(j)}(0)=0\), \(\sum^{r- 1}_{j=0}B_{kj}f^{(j)}(1)=0\), where \(A=\| A_{ij}\|\), \(B=\| B_{kj}\|\) denote given real matrices.
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Kolmogorov's width
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Gelfand's widths
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