ε‐Coverings of Hölder‐Zygmund Type Spaces on Data‐Defined Manifolds

Martin Ehler and Frank Filbir

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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

Date: 2014
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https://doi.org/10.1155/2014/402918

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:402918

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