Pointwise smoothness of space-filling functions
type: Item
instance of: scholarly article
title: Pointwise smoothness of space-filling functions
zbMATH Open document ID: 1173.26002
author: Stéphane Jaffard
author: Samuel Nicolay
published in: Applied and Computational Harmonic Analysis
publication date: 2009-03-25T00:00:00Z
full work available at URL: http://orbi.ulg.ac.be/handle/2268/1797
review text: The authors study irregularity properties of generic Peano functions. They apply these results to the determination of the pointwise smoothness of a Peano function introduced by Lebesgue and of some related functions, showing that these functions are either monohölder or multifractal functions. They test on these examples several numerical variants of the multifractal formalism, and they show how a change of topology on \(R\) can affect the Hölder regularity of such functions.
Mathematics Subject Classification ID: 26A16
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 5532853
zbMATH Keywords: Hölder regularity
zbMATH Keywords: multifractal formalisms
zbMATH Keywords: space-filling functions
MaRDI profile type: Publication
OpenAlex ID: W2006968114
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DOI: 10.1016/J.ACHA.2008.04.002
description: scientific article; zbMATH DE number 5532853