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2009 A Theorem of Galambos-Bojanić-Seneta Type
Dragan Djurčić, Aleksandar Torgašev
Abstr. Appl. Anal. 2009: 1-6 (2009). DOI: 10.1155/2009/360794

Abstract

In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions c[x],  x1, 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¯nc[λn]/cn>1, for λ>1.

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Dragan Djurčić. Aleksandar Torgašev. "A Theorem of Galambos-Bojanić-Seneta Type." Abstr. Appl. Anal. 2009 1 - 6, 2009. https://doi.org/10.1155/2009/360794

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1168.26300
MathSciNet: MR2506991
Digital Object Identifier: 10.1155/2009/360794

Rights: Copyright © 2009 Hindawi

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