A boundedness criterion for the variations of self-similar functions
type: Item
instance of: scholarly article
title: A boundedness criterion for the variations of self-similar functions
zbMATH Open document ID: 1273.28009
DOI: 10.1134/S0037446612010053
author: N. V. Gaganov
author: I. A. Sheipak
published in: Siberian Mathematical Journal
publication date: 2012-05-10T00:00:00Z
review text: The authors study regularity properties of self-similar functions. They provide conditions on such functions ensuring either continuity or finiteness of the total variation (e.g., membership in the class \(BV\)). The criteria for membership in \(BV\) are more complicated for continuous functions than for discontinuous functions. As an application, the authors discuss a spectral problem associated to the eigenvalue counting function of a certain boundary value ODE.
reviewed by: Jeremy T. Tyson
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 26B30
zbMATH DE Number: 6032833
zbMATH Keywords: self-similar function
zbMATH Keywords: function of bounded variation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6032833