Interpolation type iterated function systems

By scrutinizing the crucial features of the iterated function systems used in the construction of fractal interpolation functions we introduce the concept of interpolation type iterated function system and prove that such a system has attractor and that it admits canonical projection.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 519; no. 1; p. 126747
Main Authors Miculescu, Radu, Mihail, Alexandru, Păcurar, Cristina Maria
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2023
Subjects
Attractor
Canonical projection
Interpolation type iterated function system
Canonical projection
Interpolation type iterated function system
Attractor
Online AccessGet full text
ISSN0022-247X
1096-0813
DOI10.1016/j.jmaa.2022.126747

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Summary:By scrutinizing the crucial features of the iterated function systems used in the construction of fractal interpolation functions we introduce the concept of interpolation type iterated function system and prove that such a system has attractor and that it admits canonical projection.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126747