Copyright © 2009 Dragan Djurčić and Aleksandar Torgašev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions , for , is investigated by the asymptotic behavior of the given sequence of positive
numbers , as and vice versa. The main result of this paper is one theorem of such a type for sequences
of positive numbers which satisfy an asymptotic condition of the Karamata type , for .