Fractal Dimension of α-Fractal Functions Without Endpoint Conditions

被引：0

作者：

Gurubachan ^{[1
]}

Chandramouli, V. V. M. S. ^{[1
]}

Verma, S. ^{[2
]}

机构：

[1] IIT Jodhpur, Dept Math, Jodhpur 342037, India

[2] IIIT Allahabad, Dept Appl Sci, Prayagraj 211015, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 03期

关键词：

Iterated function systems; alpha-fractal interpolation function; Hausdorff dimension; box dimension; Holder space; convex Lipschitz space; oscillation space; HAUSDORFF DIMENSION; INTERPOLATION;

D O I：

10.1007/s00009-024-02610-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we manifest the existence of a new class of alpha-fractal functions without endpoint conditions in the space of continuous functions. Furthermore, we add the existence of the same class in numerous spaces such as the Holder space, the convex Lipschitz space, and the oscillation space. We also estimate the fractal dimensions of the graphs of the newly constructed alpha-fractal functions adopting some function spaces and covering methods.

引用

页数：23

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