On two special classes of fractal surfaces with certain Hausdorff and Box dimensions

被引：10

作者：

Yu, Binyan ^{[1
]}

Liang, Yongshun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 468卷

基金：

中国国家自然科学基金;

关键词：

Fractal surface; Bivariate continuous function; The Box dimension; The Hausdorff dimension; GRAPHS; INTERPOLATION;

D O I：

10.1016/j.amc.2023.128509

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using two special types of rise-dimensional operators based on existing fractal functions, we construct new fractal surfaces with any value of the Hausdorff and Box dimension between two and three. Further, we demonstrate that the lower and upper Box dimension of such fractal surfaces may be unequal to each other. This result could be useful to the research on creating various fractal surfaces with the required fractal dimensions in the future.

引用

页数：22

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