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Klesov, O. I. and Steinebach, J. G. (2020). On preserving the limit points of corresponding objects. J. Math. Anal. Appl., 486 (2). SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0813

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Abstract

Suppose that, for two given sequences {a(n)} and {b(n)}, lim inf(n ->infinity) 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 -> infinity ? 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. (C) 2020 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klesov, O. I. UNSPECIFIED UNSPECIFIED UNSPECIFIED Steinebach, J. G. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-330007
DOI:	10.1016/j.jmaa.2020.123916
Journal or Publication Title:	J. Math. Anal. Appl.
Volume:	486
Number:	2
Date:	2020
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1096-0813
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PRECISE LARGE DEVIATIONS; DIFFERENTIAL-EQUATIONS; INTERMEDIATE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; TAUBERIAN-THEOREMS; RANDOM-VARIABLES; PRV PROPERTY; FRAMEWORK; SUMS Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/33000