Some properties of rapidly varying sequences

Autor:	Dragan Djurcic, Mališa Žižović, Lj.D.R. Kočinac
Rok vydání:	2007
Předmět:	Selection principles Infinite game Discrete mathematics Sequence Rapidly varying sequence Applied Mathematics αi-Properties Partition relation Function (mathematics) Combinatorics Rapidly varying function Positive real numbers Selection criterion Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 327:1297-1306
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2006.05.024
Popis:	We investigate the class R ∞ , s of rapidly varying sequences from different points of view. It is shown: (1) a sequence ( c n ) n ∈ N of positive real numbers is rapidly varying if and only if the corresponding function x → c [ x ] , x ⩾ 1 , is rapidly varying; (2) the class R ∞ , s satisfies some selection properties, as well as game-theoretical and Ramsey-theoretical conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b74ec7c332762adf7b32e312d71609c https://doi.org/10.1016/j.jmaa.2006.05.024 Zobrazit plný text záznamu Full Text from ScienceDirect