Hölder Derivative of the Koch Curve  

作　　者：Guangjun Yang Xiaoling Yang Ping Wang Guangjun Yang;Xiaoling Yang;Ping Wang(College of Mathematics and Statistics, Yunnan University, Kunming, China;College of Mathematics and Statistics, Yunnan University of Finance and Economy, Kunming, China;Department of Mathematics, Penn State University, Schuylkill Haven, USA)

机构地区：[1]College of Mathematics and Statistics, Yunnan University, Kunming, China [2]College of Mathematics and Statistics, Yunnan University of Finance and Economy, Kunming, China [3]Department of Mathematics, Penn State University, Schuylkill Haven, USA

出　　处：《Journal of Applied Mathematics and Physics》2023年第1期101-114,共14页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：FRACTAL Koch Curve Hölder Inequality Hölder Derivative 

分 类 号：O17[理学—数学]