A Wirsing-type approach to some continued fraction expansion

Chan (2004) considered a certain continued fraction expansion and the corresponding Gauss-Kuzmin-Lévy problem. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to obtain a near-optimal solution to this problem.

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Main Author: Gabriela Ileana Sebe
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.1943
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author Gabriela Ileana Sebe
author_facet Gabriela Ileana Sebe
author_sort Gabriela Ileana Sebe
collection DOAJ
description Chan (2004) considered a certain continued fraction expansion and the corresponding Gauss-Kuzmin-Lévy problem. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to obtain a near-optimal solution to this problem.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2005-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2e5a9b6437044a319a4b6cc2ee323c992025-02-03T01:04:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005121943195010.1155/IJMMS.2005.1943A Wirsing-type approach to some continued fraction expansionGabriela Ileana Sebe0Department of Mathematics I, “Politehnica” University of Bucharest, Splaiul Independentei 313, Bucharest 060042, RomaniaChan (2004) considered a certain continued fraction expansion and the corresponding Gauss-Kuzmin-Lévy problem. A Wirsing-type approach to the Perron-Frobenius operator of the associated transformation under its invariant measure allows us to obtain a near-optimal solution to this problem.http://dx.doi.org/10.1155/IJMMS.2005.1943
spellingShingle Gabriela Ileana Sebe
A Wirsing-type approach to some continued fraction expansion
International Journal of Mathematics and Mathematical Sciences
title A Wirsing-type approach to some continued fraction expansion
title_full A Wirsing-type approach to some continued fraction expansion
title_fullStr A Wirsing-type approach to some continued fraction expansion
title_full_unstemmed A Wirsing-type approach to some continued fraction expansion
title_short A Wirsing-type approach to some continued fraction expansion
title_sort wirsing type approach to some continued fraction expansion
url http://dx.doi.org/10.1155/IJMMS.2005.1943
work_keys_str_mv AT gabrielaileanasebe awirsingtypeapproachtosomecontinuedfractionexpansion
AT gabrielaileanasebe wirsingtypeapproachtosomecontinuedfractionexpansion