Open AccessA Theorem of Galambos-Bojanić-Seneta Type
Author(s) -
Dragan Djurčić,
Aleksandar Torgašev
Publication year - 2009
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2009/360794
Subject(s) - mathematics , type (biology) , sequence (biology) , pure mathematics , discrete mathematics , ecology , biology , genetics
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions [],≥1, for →+∞, is investigated by the asymptotic behavior of the given sequence of positivenumbers (), as →+∞ and vice versa. The main result of this paper is one theorem of such a type for sequencesof positive numbers () which satisfy an asymptotic condition of the Karamata type lim→∞ []/>1, for >1
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