BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

被引：36
|
作者：
Akhtar, Md. Nasim [1 ]
Prasad, M. Guru Prem [1 ]
Navascues, M. A. [2 ]
机构：
[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India
[2] Univ Zaragoza, Dept Mate Aplicada, E-50009 Zaragoza, Spain
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2016年 / 24卷 / 03期
关键词：
Fractal Interpolation Functions; alpha-Fractal Interpolation Functions; Variation of Continuous Functions; Box-Counting Dimensions; INTERPOLATION SURFACES;
D O I：
10.1142/S0218348X16500377
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, continuous, nowhere differentiable function fa which is a fractal analogue of a continuous function f corresponding to a certain iterated function system (IFS), is investigated in the present paper. The estimates for box dimension of the graph of alpha-fractal function f(alpha) for equally spaced as well as arbitrary data sets are found.
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页数：13
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