Publications de l'Institut Mathématique (Beograd) Vol. 73(87), pp. 5357 (2003) 

ON THE CLASSES OF RAPIDLY VARYING FUNCTIONSSlavko Simi\'cMatemati\v cki institut SANU, Kneza Mihaila 35, Beograd, SerbiaAbstract: The classes $KR_\infty$, $MR_\infty$, $R_\infty$ of rapidly varying functions are natural extensions of Karamata's concept of regular variation. In \cite{2} we introduced a new class $K$ of perfect Karamata's kernels and its subclasses $\Theta$ and $\Sigma$. In this paper we study inclusion properties of these classes and, among other results, we prove $KR_\infty\subset MR_\infty\subset\Sigma\subset\Theta\subset K$. Classification (MSC2000): 26A12 Full text of the article:
Electronic version published on: 1 Jan 1970. This page was last modified: 14 Apr 2004.
© 1970 Mathematical Institute of the Serbian Academy of Science and Arts
