REMARKS ON THE LOCAL STRUCTURE OF REGULAR FRACTAL FUNCTIONS WITH FRACTAL DIMENSIONS

被引：0
|
作者：
Zhang, Q. [1 ]
Lu, L. J. [2 ,3 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211106, Peoples R China
[2] Nanjing Univ, Business Sch, Nanjing 210008, Peoples R China
[3] Wuxi TaiHu Univ, Wuxi 214063, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Fractal Dimensions; Regular Fractal Functions; Variation; Fractal Characteristic; Local Structure;
D O I：
10.1142/S0218348X23501189
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we have explored the local structure and fractal characteristics of fractal functions with certain fractal dimensions. The conclusion that points with inconsistent oscillation amplitudes with the upper Box dimension of the corresponding fractal functions have been proved to be nowhere dense. This will play an important supporting role in exploring the fractal dimension estimation of the combination of fractal functions.
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页数：5
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