A Theorem of Galambos-Bojanić-Seneta Type

Dragan Djurčić and Aleksandar Torgašev

Abstract and Applied Analysis, 2009, vol. 2009, 1-6

Abstract:

In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions ð ‘ [ ð ‘¥ ] , ð ‘¥ ≥ 1 , for ð ‘¥ → + ∞ , is investigated by the asymptotic behavior of the given sequence of positive numbers ( ð ‘ ð ‘› ) , as ð ‘› → + ∞ and vice versa. The main result of this paper is one theorem of such a type for sequences of positive numbers ( ð ‘ ð ‘› ) which satisfy an asymptotic condition of the Karamata type l i m ð ‘› → ∞ ð ‘ [ 𠜆 ð ‘› ] / ð ‘ ð ‘› > 1 , for 𠜆 > 1 .

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:360794

DOI: 10.1155/2009/360794

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