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

页码：76 / 83

页数：8

共 26 条

[11]

de Rham G., 1957, Univ. Politec. Torino. Rend. Sem. Mat, V16, P101

[12]

Freeland GC, 1996, IEEE GLOBECOM 1996 - CONFERENCE RECORD, VOLS 1-3, P1353, DOI 10.1109/GLOCOM.1996.587667

[13]

Girgensohn R., 1993, Aequationes Math, V46, P243

[14]

Igudesman K, ARXIV12101068