Box dimension of generalized affine fractal interpolation functions

被引：4

作者：

Jiang, Lai ^{[1
]}

Ruan, Huo-Jun ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310058, Peoples R China

来源：

JOURNAL OF FRACTAL GEOMETRY | 2023年 / 10卷 / 3-4期

关键词：

Fractal interpolation functions; box dimension; iterated function systems; vertical scaling functions; spectral radius; HAUSDORFF; SETS;

D O I：

10.4171/JFG/136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a generalized affine fractal interpolation function with a vertical scaling function S. In this paper, we study dimB Gamma f , the box dimension of the graph of f , under the assumption that S is a Lipschitz function. By introducing vertical scaling matrices, we estimate the upper and the lower bounds of oscillations of f . As a result, we obtain an explicit formula of dimB Gamma f under certain constraint conditions.

引用

页码：279 / 302

页数：24

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