Geodesic
Estimate of the Hölder Exponent Based on the $\epsilon$-Complexity of Continuous Functions
Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 620-623 Cet article a éte moissonné depuis la source Math-Net.Ru

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Mots-clés : the Hölder exponent
Keywords: $\epsilon$-complexity of continuous functions. 
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B. S. Darkhovsky. Estimate of the Hölder Exponent Based on the $\epsilon$-Complexity of Continuous Functions. Matematičeskie zametki, Tome 111 (2022) no. 4, pp. 620-623. http://geodesic.mathdoc.fr/item/MZM_2022_111_4_a13/

[1] K. J. Falkoner, Fractal Geometry: Mathematical Foundations and Applications, New York, Wiley, 2003 | MR

[2] A. N. Pavlov, V. S. Anischenko, UFN, 177:8 (2007), 859–876 | DOI

[3] M. Sh. Shabozov, Matem. zametki, 110:3 (2021), 450–458 | DOI | Zbl

[4] A. Kh. Askarova, V. E. Ismailov, Matem. zametki, 109:6 (2021), 832–841 | DOI

[5] A. N. Kolmogorov, UMN, 38:4 (1983), 27–36 | MR | Zbl

[6] A. N. Kolmogorov, “Razlichnye podkhody k otsenke trudnosti priblizhennogo zadaniya i vychisleniya funktsii”, Proceedings of the International Congress of Mathematicians, Institute Mittag-Leffler, Djursholm, 1963, 352–356

[7] A. N. Kolmogorov, V. M. Tikhomirov, UMN, 14:2 (1959), 3–86 | MR | Zbl

[8] B. S. Darkhovskii, Teoriya veroyatn. i ee primen., 65:3 (2020), 479–497 | DOI | Zbl