Geodesic
On the Classes of Rapidly Varying Functions
Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 53 .

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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 $KR_\infty\subset MR_\infty\subset\Sigma\subset\Theta\subset K$.
DOI : 10.2298/PIM0373053S
Classification : 26A12 
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Slavko Simić. On the Classes of Rapidly Varying Functions. Publications de l'Institut Mathématique, _N_S_73 (2003) no. 87, p. 53 . doi : 10.2298/PIM0373053S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0373053S/

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