Hölder Exponents of Self-Similar Functions


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Abstract

We study the Hölder exponents of self-affine similar functions on the interval [0; 1]. Closed-form expressions for the Hölder exponents via the self-similarity parameters are obtained.

About the authors

I. A. Sheipak

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Author for correspondence.
Email: iasheip@yandex.ru
Russian Federation, Moscow

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