-Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds

Martin Ehler and Frank Filbir

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

Abstract:

We first determine the asymptotes of the -covering numbers of Hölder-Zygmund type spaces on data-defined manifolds. Secondly, a fully discrete and finite algorithmic scheme is developed providing explicit -coverings whose cardinality is asymptotically near the -covering number. Given an arbitrary Hölder-Zygmund type function, the nearby center of a ball in the -covering can also be computed in a discrete finite fashion.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:402918

DOI: 10.1155/2014/402918

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