Explicitly defined fractal interpolation functions with variable parameters

Cristina Serpa and Jorge Buescu

Chaos, Solitons & Fractals, 2015, vol. 75, issue C, 76-83

Abstract: 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:75:y:2015:i:c:p:76-83

DOI: 10.1016/j.chaos.2015.01.023

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