\(\varepsilon\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds (Q1724045)
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scientific article; zbMATH DE number 7022324
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\varepsilon\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds |
scientific article; zbMATH DE number 7022324 |
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\(\varepsilon\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds (English)
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14 February 2019
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Summary: We first determine the asymptotes of the \(\varepsilon\)-covering numbers of Hölder-Zygmund type spaces on data-defined manifolds. Secondly, a fully discrete and finite algorithmic scheme is developed providing explicit \(\varepsilon\)-coverings whose cardinality is asymptotically near the \(\varepsilon\)-covering number. Given an arbitrary Hölder-Zygmund type function, the nearby center of a ball in the \(\varepsilon\)-covering can also be computed in a discrete finite fashion.
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