A Wavelet Characterization for the Upper Global Hölder Index

Clausel, Marianne; Nicolay, Samuel

doi:10.1007/s00041-012-9220-y

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A Wavelet Characterization for the Upper Global Hölder Index

Clausel, Marianne; Nicolay, Samuel

2012 • In Journal of Fourier Analysis and Applications, 18 (4), p. 750-769

Peer reviewed

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https://hdl.handle.net/2268/132547

DOI
10.1007/s00041-012-9220-y

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Keywords :

Uniform Hölder regularity; Uniform Hölder irregularity; Discrete wavelet transform

Abstract :

[en] The upper Hölder index has been introduced to describe smoothness properties of a continuous function. It can be seen as the irregular counterpart of the usual Hölder index and has been used to investigate the behavior at the origin of the modulus of smoothness in many classical cases. In this paper, we prove a characterization of the upper Hölder index in terms of wavelet coefficients. This result is a first step in the estimation of this exponent using wavelet methods.

Disciplines :

Mathematics

Author, co-author :

Clausel, Marianne

Nicolay, Samuel ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

A Wavelet Characterization for the Upper Global Hölder Index

Publication date :

2012

Journal title :

Journal of Fourier Analysis and Applications

ISSN :

1069-5869

eISSN :

1531-5851

Publisher :

Springer Verlag

Volume :

Issue :

Pages :

750-769

Peer reviewed :

Peer reviewed

Available on ORBi :

since 19 October 2012

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