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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.

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Sheipak, I.A. Hölder Exponents of Self-Similar Functions. Funct Anal Its Appl 53, 51–60 (2019). https://doi.org/10.1007/s10688-019-0248-5

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  • DOI: https://doi.org/10.1007/s10688-019-0248-5

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