On a subclass of the class of rapidly varying sequences

Dragan Djurčić, Nebojša Elez and Ljubiša D.R. Kočinac

Applied Mathematics and Computation, 2015, vol. 251, issue C, 626-632

Abstract: We define and study the class KR∞,s which is a proper subclass of the class R∞,s of rapidly varying sequences of index of variability ∞. Then, we prove a theorem of the Galambos–Bojanić–Seneta type for this class, as well as a representation theorem in the Karamata sense. We also give some important asymptotic properties and characterizations of sequences in KR∞,s.

Keywords: Rapid variability; KR∞,s; Representation theorem; Selection principles (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:626-632

DOI: 10.1016/j.amc.2014.11.099

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