Прегледај по Аутор "Djurčić, Dragan"

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    Asymptotic similarity relation and generalized inverse
    (Faculty of Sciences and Mathematics, University of Niš, Serbia, 2012) Djurčić, Dragan; Konjokrad, Valentina; Nikolić, Rale M.
    In this paperwediscuss relationshipsamongasymptotic similarity, weak asymptotic equivalence and the generalized inverse in the class A of all nondecreasing unbounded positive functions on a halfaxis [a,+∞) (a > 0). As a main result, we prove proper characterizations of some classes of functions in Karamata’s theory of regular and rapid variation.
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    On Slowly Varying Sequences
    (University of Niš, Serbia, 2015) Timotić, Valentina; Djurčić, Dragan; Nikolić, Rale M.
    In this paper we investigate the connection between the class SVs of slowly varying sequences (in the sense of Karamata) and the slow equivalence, strong asymptotic equivalence, selection principles and game theory.
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    Rapid Variability and Karamata’s Integral Theorem
    (University of Niš, Serbia, 2014) Elez, Nebojša; Djurčić, Dragan
    In this paper some important variations and generalizations of the well-known Karamata’s integral theorem are proved. The property of rapid variability is the central argument for the results presented in this paper.
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    Some properties of rapidly varying functions
    (Elsevier, 2013) Elez, Nebojša; Djurčić, Dragan
    In this paper some characterizations of the class of rapidly varying functions using the notions of the lower and upper generalized inverses will be proved. The important properties of this class that are related to two classical integral transformations will be proved, also.
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    Some properties of rapidly varying functions✩
    (Elsevier, 2013) Elez, Nebojša; Djurčić, Dragan
    In this paper some characterizations of the class of rapidly varying functions using the notions of the lower and upper generalized inverses will be proved. The important properties of this class that are related to two classical integral transformations will be proved, also.
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    Summation of Double Sequences and Selection Principles
    (University of Niš, Serbia, 2015) Elez, Nebojša; Djurčić, Dragan; Šebeković, Aleksandar
    This paper proves some selection properties of a class of positive real double sequences which converge to 0 in the sense of Pringsheim (see, e.g. [10]).