On generating regular Cantorvals connected with geometric Cantor sets

Artur Bartoszewicz, Małgorzata Filipczak, Szymon Gła̧b, Franciszek Prus-Wiśniowski and Jarosław Swaczyna

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 468-473

Abstract: We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functions.

Keywords: Cantorval; Achievement set; Attractor of IFS (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:468-473

DOI: 10.1016/j.chaos.2018.07.026

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