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Yang, G., Yang, X. and Wang, P. (2019) Arithmetic-Analytic Representation of the Peano Curve. International Journal of Mathematics and Mathematical Sciences, 2019, Article ID: 6745202.
https://doi.org/10.1155/2019/6745202

has been cited by the following article:

• TITLE: Hölder Derivative of the Koch Curve

  AUTHORS: Guangjun Yang, Xiaoling Yang, Ping Wang

  KEYWORDS: Fractal, Koch Curve, Hölder Inequality, Hölder Derivative

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.1, January 18, 2023

  ABSTRACT: In this paper, we introduce a K Hölder p-adic derivative that can be applied to fractal curves with different Hölder exponent K. We will show that the Koch curve satisfies the Hölder condition with exponent and has a 4-adic arithmetic-analytic representation. We will prove that the Koch curve has exact -Hölder 4-adic derivative.