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.
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页数：24
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