Explicitly defined fractal interpolation functions with variable parameters

被引：29
作者：
Serpa, Cristina [1 ]
Buescu, Jorge [1 ]
机构：
[1] Univ Lisbon, Fac Ciencias, Ctr Matemat & Aplicacoes Fundamentais, P-1749016 Lisbon, Portugal
来源：
CHAOS SOLITONS & FRACTALS | 2015年 / 75卷
关键词：
DIMENSION;
D O I：
10.1016/j.chaos.2015.01.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct an explicit formula for the fractal interpolation function associated to an IFS with variable parameters. The solution is given in terms of the base p representation of numbers. This construction is a consequence of the formulation of the problem in a general functional equation setting. We introduce compatibility conditions as essential hypotheses to ensure problems in the functional system form are well-defined. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：76 / 83
页数：8
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