| Institution: | a Technical Faculty, University of Kragujevac, Svetog Save 65, 32000 ?a?ak, Serbia and Montenegro
b Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia and Montenegro |
| Abstract: | We investigate the class R∞,s of rapidly varying sequences from different points of view. It is shown: (1) a sequence (cn)n∈N of positive real numbers is rapidly varying if and only if the corresponding function x→cx], x?1, is rapidly varying; (2) the class R∞,s satisfies some selection properties, as well as game-theoretical and Ramsey-theoretical conditions. |
