Interpolation type iterated function systems

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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Veröffentlicht in:Journal of mathematical analysis and applications 2023-03, Vol.519 (1), p.126747, Article 126747
Hauptverfasser: Miculescu, Radu, Mihail, Alexandru, Păcurar, Cristina Maria
Format: Artikel
Sprache:eng
Schlagworte:
Attractor
Canonical projection
Interpolation type iterated function system
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Beschreibung
Zusammenfassung: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