Dimensional Analysis of α-Fractal Functions

被引：0

作者：

Jha, S. ^{[1
]}

Verma, S. ^{[2
]}

机构：

[1] NIT Rourkela, Dept Math, Rourkela 769008, India

[2] IIIT Allahabad, Dept Appl Sci, Allahabad 211015, Uttar Pradesh, India

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期

关键词：

Iterated function systems; fractal interpolation functions; Hausdorff dimension; box dimension; open set condition; SEPARATION PROPERTIES; INTERPOLATION;

D O I：

10.1007/s00025-021-01495-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a rigorous study on dimensions of fractal interpolation functions defined on a closed and bounded interval of R which are associated to a continuous function with respect to a base function, scaling functions and a partition of the interval. In particular, we calculate an exact estimation of box dimension of alpha-fractal functions under suitable hypotheses on the iterated function system.

引用

页数：24

共 29 条

[1] BOX DIMENSIONS OF α-FRACTAL FUNCTIONS [J].