Box dimension of α-fractal function with variable scaling factors in subintervals

被引：35
作者：
Akhtar, Md Nasim [1 ]
Prasad, M. Guru Prem [1 ]
Navascures, M. A. [2 ]
机构：
[1] IIT Guwahati, Dept Math, Gauhati 781039, India
[2] Univ Zaragoza, Dept Matemat Aplicada, Zaragoza, Spain
来源：
CHAOS SOLITONS & FRACTALS | 2017年 / 103卷
关键词：
Fractal interpolation functions; alpha-Fractal interpolation functions; Variable scaling factors; Box-counting dimensions; INTERPOLATION SURFACES;
D O I：
10.1016/j.chaos.2017.07.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The box dimension of the graph of non-affine alpha-fractal interpolation function f(alpha) with variable scaling factors is estimated in the interval [0, 1]. Due to the non- affinity of f(alpha), the behavior of the graph is nonuniform in the subintervals. An attempt is made to estimate the box dimension of the graph of f(alpha) in the subintervals as well and it is compared with the box dimension of f(alpha) on the whole interval. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：440 / 449
页数：10
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