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

Joint Authors

Ehler, Martin
Filbir, Frank

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-17

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Ehler, Martin& Filbir, Frank. 2014. ε -Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013868

Modern Language Association (MLA)

Ehler, Martin& Filbir, Frank. ε -Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1013868

American Medical Association (AMA)

Ehler, Martin& Filbir, Frank. ε -Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1013868

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1013868