BETA CANTOR SERIES EXPANSION AND ADMISSIBLE SEQUENCES
dc.contributor.author | Caalim , Jonathan | |
dc.contributor.author | Demegillo , Shiela | |
dc.date.accessioned | 2021-03-10T15:29:03Z | |
dc.date.available | 2021-03-10T15:29:03Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Acta Polytechnica. 2020, vol. 60, no. 3, p. 214-224. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/93780 | |
dc.description.abstract | We introduce a numeration system, called the beta Cantor series expansion, that generalizes the classical positive and negative beta expansions by allowing non-integer bases in the Q-Cantor series expansion. In particular, we show that for a fix $\gamma \in \mathbb{R}$ and a sequence $B=\{\beta_i\}$ of real number bases, every element of the interval $x \in [\gamma,\gamma+1)$ has a beta Cantor series expansion with respect to B where the digits are integers in some alphabet $\mathcal{A}(B)$. We give a criterion in determining whether an integer sequence is admissible when $B$ satisfies some condition. We provide a description of the reference strings, namely the expansion of $\gamma$ and $\gamma+1$, used in the admissibility criterion. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/5897 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | BETA CANTOR SERIES EXPANSION AND ADMISSIBLE SEQUENCES | |
dc.type | article | en |
dc.date.updated | 2021-03-10T15:29:03Z | |
dc.identifier.doi | 10.14311/AP.2020.60.0214 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
Soubory tohoto záznamu
Tento záznam se objevuje v následujících kolekcích
Kromě případů, kde je uvedeno jinak, licence tohoto záznamu je Creative Commons Attribution 4.0 International License