Abstract and Applied Analysis
Volume 2009 (2009), Article ID 360794, 6 pages
doi:10.1155/2009/360794
Research Article

A Theorem of Galambos-Bojanić-Seneta Type

Dragan Djurčić1 and Aleksandar Torgašev2

1Technical Faculty, University of Kragujevac, Svetog Save 65, Čačak 32000, Serbia
2Faculty of Mathematics, University of Belgrade, Studentski trg 16a, Belgrade 11000, Serbia

Received 9 January 2009; Accepted 29 March 2009

Academic Editor: Stephen Clark

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.

Abstract

In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions c[x],  x≥1, for x→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (cn), as n→+∞ and vice versa. The main result of this paper is one theorem of such a type for sequences of positive numbers (cn) which satisfy an asymptotic condition of the Karamata type lim¯n→∞ c[λn]/cn>1, for λ>1.