Fractal interpolation function on products of the Sierpinski gaskets

被引：12
作者：
Prasad, S. A. [1 ]
Verma, S. [2 ]
机构：
[1] Indian Inst Technol Tirupati, Dept Math & Stat, Tirupati 517506, India
[2] Indian Inst Informat Technol Allahabad, Dept Appl Sci, Prayagraj 211015, India
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 166卷
关键词：
Fractal dimension; Fractal interpolation; Sierpinski gasket; Holder continuous; Smoothness;
D O I：
10.1016/j.chaos.2022.112988
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we aim to construct fractal interpolation functions (FIFs) on the product of two Sierpinski gaskets. Further, we collect some results regarding smoothness of the constructed FIFs. We prove, in particular, that the FIFs are Holder functions under specific conditions. In the final section, we obtain some bounds on the fractal dimensions of FIFs.
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页数：6
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