The local Hölder function of a continuous function
type: Item
instance of: scholarly article
title: The local Hölder function of a continuous function
zbMATH Open document ID: 1023.26003
DOI: 10.1016/S1063-5203(02)00508-0
author: Stéphane Seuret
author: Jacques Lévy-Véhel
published in: Applied and Computational Harmonic Analysis
publication date: 2003-04-02T00:00:00Z
review text: This work focuses on the local Hölder exponent as a measure of the regularity of a function around a given point. The authors investigate in detail the structure and the main properties of the local Hölder function (i.e., the function that associates to each point its local Hölder exponent). It is shown that it is possible to construct a continuous function with prescribed local and pointwise Hölder function outside a set of Hausdorff dimension 0.
reviewed by: Richard A. Zalik
Mathematics Subject Classification ID: 26A16
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 28A78
zbMATH DE Number: 1891403
zbMATH Keywords: Hölder exponent
zbMATH Keywords: Hölder function
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: wavelets
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891403