On preserving the limit points of corresponding objects

Autor:	Oleg I. Klesov, Josef Steinebach
Rok vydání:	2020
Předmět:	010101 applied mathematics Combinatorics Applied Mathematics 010102 general mathematics Limit point Order (ring theory) Function (mathematics) Limit (mathematics) 0101 mathematics 01 natural sciences Slowly varying function Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 486:123916
ISSN:	0022-247X
Popis:	Suppose that, for two given sequences { a n } and { b n } , lim inf n → ∞ b n a n = 1 and let a function f be given. What can then be said about the limit behavior of the corresponding ratio f ( b n ) f ( a n ) as n → ∞ ? In general, no definite answer can be given to this question. We study a case where a definite answer is possible, namely the case of a regularly varying function f of nonzero order.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3333a12f2c4d6dd573496f5f9daf02eb https://doi.org/10.1016/j.jmaa.2020.123916 Zobrazit plný text záznamu Full Text from ScienceDirect