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A theorem of Galambos-Bojanic-Seneta type
by
Aleksandar Torgasev
Mathematical faculty, Studentski trg 16a, 11000 Belgrade
Coauthors: Prof. dr Dragan Djurcic
In the theorems of the Galambos-Bojanic-Seneta type, the asymptotic behaviour of the function c[x] (x > =1), is investigated by the asymptotic behaviour of the given seqence of positive numbers (cn), as n → +∞, and vice-versa. The main results of this paper are some theorems of such a type for sequences of positive numbers (cn) which satisfy an asymptotic condition of the Karamata type liminfn → +∞ c[ln]/cn > 1 for every l > 1.
Date received: May 14, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawq-25.