A note on fractal dimensions of graphs of certain continuous functions

被引：0
|
作者：
Liu, Peizhi [1 ]
Yu, Binyan [1 ]
Liang, Yongshun [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 188卷
基金：
中国国家自然科学基金;
关键词：
The fractal dimension; Box dimension; Variation of the inner function; Graph of the function;
D O I：
10.1016/j.chaos.2024.115413
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article investigates fractal dimensions variation of fractal functions under certain operations, which corroborates the conjecture raised in our previous work Yu and Liang (2024) [1]. It has been shown that when polynomial operations are applied to the independent variable of a function, the fractal dimension of the function's graph remains unchanged. This finding holds significance for the construction of fractal functions.
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页数：5
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