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A Fractal Operator on Some Standard Spaces of Functions

Viswanathan, Priya; Navascués, M.A.

Description

Through appropriate choices of elements in the underlying iterated function system, the methodology of fractal interpolation enables us to associate a family of continuous self-referential functions with a prescribed real-valued continuous function on a real compact interval. This procedure elicits what is referred to as an α-fractal operator on , the space of all real-valued continuous functions defined on a compact interval I. With an eye towards connecting fractal functions with other...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
URI: http://hdl.handle.net/1885/217790
Source: Proceedings of the Edinburgh Mathematical Society
DOI: 10.1017/S0013091516000316

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