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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 68–88 (Mi smj2290)  
This article is cited in 4 scientific papers (total in 4 papers)

A boundedness criterion for the variations of self-similar functions

N. V. Gaganov, I. A. Sheipak

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow
Full-text PDF (381 kB) Citations (4)
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Abstract: We consider self-similar functions in the space $B[0,1]$ of bounded functions and prove a boundedness criterion in terms of self-similarity parameters for the variations of these functions.
Keywords: self-similar function, function of bounded variation.
Received: 28.01.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 55–71
DOI: https://doi.org/10.1134/S0037446612010053
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. V. Gaganov, I. A. Sheipak, “A boundedness criterion for the variations of self-similar functions”, Sibirsk. Mat. Zh., 53:1 (2012), 68–88; Siberian Math. J., 53:1 (2012), 55–71
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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