Stability of affine coalescence hidden variable fractal interpolation functions

被引：24
|
作者：
Chand, A. K. B. [1 ]
Kapoor, G. P. [2 ]
机构：
[1] Univ Zaragoza, Dept Matemat Aplicada, Ctr Politecn Super Ingenieros, Zaragoza 50018, Spain
[2] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 12期
关键词：
fractals; iterated function systems; affine fractal interpolation; hidden variable; self-affine; non-self-affine; stability;
D O I：
10.1016/j.na.2007.04.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The stability of an affine coalescence hidden variable fractal interpolation function is proved in a general set up in the present work, by establishing that any small perturbation in the generalized interpolation data leads to a small perturbation in the corresponding affine coalescence hidden variable fractal interpolation function. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：3757 / 3770
页数：14
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