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

Q. Zhang () and L. J. Lu
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Q. Zhang: School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P. R. China
L. J. Lu: ��Business School, Nanjing University, Nanjing 210008, P. R. China‡Wuxi TaiHu University, Wuxi 214063, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-5

Abstract: 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.

Keywords: Fractal Dimensions; Regular Fractal Functions; Variation; Fractal Characteristic; Local Structure (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501189

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