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A few remarks on divergent sequences: Rates of divergence
Authors:D. Djur   i&#x  , Lj.D.R. Ko   inac,M.R.   i  ovi&#x  
Affiliation:aTechnical Faculty, University of Kragujevac, Svetog Save 65, 32000 Čačak, Serbia;bFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Abstract:We continue investigation of certain classes of sequences of positive real numbers which are important in asymptotic analysis of divergent processes. Among others, we define the notion of quotient speed, give representation results for some kinds of sequences and improve several our earlier results concerning selection principles and games.
Keywords:Regular variation   Rapidly varying sequence   Quotient speed   Selection principles   Game theory
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