Representation and characterization of rapidly varying functions

Authors : Nebojša ELEZ, Dragan DJURČİĆ

Pages : 317-322

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Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :In this paper representations and characterizations of the class of rapidly varying functions in the sense of de Haan, for index +∞, will be proved. The statements of this theorems will be given in a form that is used by Karamata. Also, some characterization of normalized rapidly varying functions are proved.
Keywords : Rapidly varying function, Regular variation