Some properties of rapidly varying functions

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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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2013-05, Vol.401 (2), p.888-895
Main Authors: Elez, Nebojša, Djurčić, Dragan
Format: Article
Language:English
Subjects:
Lower generalized inverse
Rapid variability
Upper generalized inverse
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Description
Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2012.12.012