FRACTAL DIMENSIONS OF THE LOGARITHM OF CONTINUOUS FUNCTIONS

被引：1
|
作者：
Liu, Peizhi [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractal Dimension; Continuous Functions; Graph of the Function;
D O I：
10.1142/S0218348X24500038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the variation of fractal dimensions of continuous functions under operations. It is found that the Box dimension of the logarithm of positive continuous functions remains constant, and any nonzero real power of a positive continuous function can keep fractal dimensions variation closed. The study also discusses the fractal dimension of logarithmic function with bases of fractal functions, and the corresponding fractal dimension is determined by the function with the larger fractal dimension.
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页数：7
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