A note on fractal dimensions of graphs of certain continuous functions

Peizhi Liu, Binyan Yu and Yongshun Liang

Chaos, Solitons & Fractals, 2024, vol. 188, issue C

Abstract: 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.

Keywords: The fractal dimension; Box dimension; Variation of the inner function; Graph of the function (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924009652

DOI: 10.1016/j.chaos.2024.115413

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