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Funktsional'nyi Analiz i ego Prilozheniya, 2019, Volume 53, Issue 1, Pages 67–78
DOI: https://doi.org/10.4213/faa3585 (Mi faa3585) 		 
On Hölder exponents of the self-similar functions

I. A. Sheipak

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa3585
Abstract: We study the class of affine self-similar and continuous on interval $[0;1]$ functions. Formulas for the Hölder exponents are obtained in terms of self-similarity parameters.
Keywords: affine self-similar functions, fractal functions, Hölder exponents.
Funding agency Grant number
Russian Science Foundation 17-11-01215
Russian Foundation for Basic Research 16-01-00706
Received: 11.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.984+517.518.26
MSC: 26A16, 26A30
Language: Russian
Citation: I. A. Sheipak, “On Hölder exponents of the self-similar functions”, Funktsional. Anal. i Prilozhen., 53:1 (2019), 67–78
Citation in format AMSBIB
\Bibitem{She19}
\by I.~A.~Sheipak
\paper On H\"{o}lder exponents of the self-similar functions
\jour Funktsional. Anal. i Prilozhen.
\yr 2019
\vol 53
\issue 1
\pages 67--78
\mathnet{http://mi.mathnet.ru/faa3585}
\crossref{https://doi.org/10.4213/faa3585}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3909120}
\elib{https://elibrary.ru/item.asp?id=37045027}
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