On Hölder exponents of the self-similar functions

I. A. Sheipak

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 517.984+517.518.26

MSC: 26A16, 26A30

Received: 11.04.2018

DOI: 10.4213/faa3585

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