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Title: Logarithmic (translationally) rapidly varying sequences and selection principles
Authors: Đurčić, Dragan
Elez N.
Timotić V.
Journal: Publications de l'Institut Mathematique
Issue Date: 1-Jan-2020
Abstract: © 2020 Mathematical Institute of the Serbian Academy of Sciences and Arts. We introduce a proper subclass of the class of rapidly varying sequences (logarithmic (translationally) rapidly varying sequences), motivated by a notion in information theory (self-information of the system). We prove some of its basic properties. In the main result, we prove that Rothberger's and Kocinac's selection principles hold, when this class is on the second coordinate, and on the first coordinate we have the class of positive and unbounded sequences.
Type: Article
DOI: 10.2298/PIM2021045D
ISSN: 03501302
SCOPUS: 85087956257
Appears in Collections:Faculty of Technical Sciences, Čačak
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