Convergence results for Oppenheim expansions

Autor:	Rita Giuliano
Rok vydání:	2017
Předmět:	010104 statistics & probability General theorem Convergence of random variables Lüroth series expansion · Engel series expansion · Sylvester series expansion·Oppenheim series expansion·Classical continued fraction expansion· Engel continued fraction expansion · Sylvester continued fraction expansion · Oppenheim continued fraction expansion·Convergence in probability General Mathematics 010102 general mathematics Convergence (routing) Applied mathematics 0101 mathematics Series expansion 01 natural sciences Real number Mathematics
Zdroj:	Monatshefte für Mathematik. 187:509-530
ISSN:	1436-5081 0026-9255
DOI:	10.1007/s00605-017-1126-y
Popis:	We prove convergence in probability for particular sequences defined in terms of the digits appearing in Oppenheim Series expansions and Oppenheim Continued Fractions expansions of real numbers. Our results are obtained by first proving a general theorem (Theorem 2.2) having both kinds of expansion as particular cases.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b267d9fc254ce7ade97c41ade521d890 https://doi.org/10.1007/s00605-017-1126-y Zobrazit plný text záznamu Full text from SpringerLink