Optimal adaptive sampling recovery (Q618773)
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scientific article; zbMATH DE number 5837777
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal adaptive sampling recovery |
scientific article; zbMATH DE number 5837777 |
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Optimal adaptive sampling recovery (English)
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17 January 2011
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The author proposes an approach to study optimal methods of adaptive sampling recovery of functions by sets of a finite capacity which is measured by their cardinality or pseudo-dimension. To construct asymptotically optimal adaptive sampling recovery methods for \(e_n(U^\alpha_{p,\theta})_q\) and \(r_n(U^\alpha_{p,\theta})_q\) the author uses a quasi-interpolant wavelet representation of functions in Besov spaces associated with some equivalent discrete quasi-norm.
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adaptive sampling recovery
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quasi-interpolant wavelet representation
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B-spline
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Besov space
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