Hölder exponents of self-similar functions

DOI10.1007/s10688-019-0248-5zbMath1447.28010arXiv1803.08756OpenAlexW2947410371MaRDI QIDQ2278735

I. A. Sheipak

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08756

zbMATH Keywords

Hölder exponentfractal functionnowhere differentiable functionaffine self-similar functioncontinuous singular function

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Singular functions, Cantor functions, functions with other special properties (26A30) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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