Geodesic
On H\"{o}lder exponents of the self-similar functions
Funkcionalʹnyj analiz i ego priloženiâ, Tome 53 (2019) no. 1, pp. 67-78

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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. 
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     author = {I. A. Sheipak},
     title = {On {H\"{o}lder} exponents of the self-similar functions},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {67--78},
     publisher = {mathdoc},
     volume = {53},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2019_53_1_a5/}
}
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I. A. Sheipak. On H\"{o}lder exponents of the self-similar functions. Funkcionalʹnyj analiz i ego priloženiâ, Tome 53 (2019) no. 1, pp. 67-78. http://geodesic.mathdoc.fr/item/FAA_2019_53_1_a5/