ON A CLASS OF FRACTAL SETS WITH DIFFERENT UPPER AND LOWER BOX DIMENSIONS

Qianqian Ren () and Yongshun Liang
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Qianqian Ren: School of Mathematics and Statistics, Nanjing University of Science and Technology, 210094 Nanjing, P. R. China
Yongshun Liang: School of Mathematics and Statistics, Nanjing University of Science and Technology, 210094 Nanjing, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 03, 1-6

Abstract: This paper investigates a special Cantor set with different upper and lower box dimensions, and discusses its Hausdorff dimension. In addition, we extend the set and generate a class of sets with different upper and lower box dimensions, reaching a sufficiently large interval within the range of the box dimension.

Keywords: The Fractal Dimension; The Cantor Set; The Fractal Function (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X24501366

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