Article Dans Une Revue Journal of Fourier Analysis and Applications Année : 2012

A wavelet characterization for the upper global Hölder index

Résumé

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.

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Dates et versions

hal-00582856 , version 1 (05-04-2011)

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Marianne Clausel, Nicolay Samuel. A wavelet characterization for the upper global Hölder index. Journal of Fourier Analysis and Applications, 2012, 18 (4), pp.750-769. ⟨10.1007/s00041-012-9220-y⟩. ⟨hal-00582856⟩
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