Logarithmic (translationally) rapidly varying sequences and selection principles | Zendy

Dragan Djurčić | Zendy; Nebojša Elez | Zendy; Valentina Timotić | Zendy

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Logarithmic (translationally) rapidly varying sequences and selection principles

Author(s) -

Dragan Djurčić,

Nebojša Elez,

Valentina Timotić

Publication year - 2020

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim2021045d

Subject(s) - logarithm , class (philosophy) , selection (genetic algorithm) , subclass , mathematics , coordinate system , pure mathematics , computer science , theoretical computer science , biology , artificial intelligence , genetics , mathematical analysis , antibody

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 Kočinac’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.

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