A Theorem of Galambos‐Bojanić‐Seneta Type

Dragan Djurčić and Aleksandar Torgašev

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

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.

Date: 2009
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https://doi.org/10.1155/2009/360794

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:360794

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