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The strong asymptotic equivalence and the generalized inverse
Authors:D. Djurčić  A. Torgašev  S. Ješić
Affiliation:(1) University of Kragujevac, Čačak, Serbia;(2) University of Belgrade, Belgrade, Serbia
Abstract:We discuss the relationship between the strong asymptotic equivalence relation and the generalized inverse in the class ></img> </span> </span> of all nondecreasing and unbounded functions, defined and positive on a half-axis [<em>a</em>, +∞) (<em>a</em> > 0). In the main theorem, we prove a proper characterization of the function class <em>IRV</em>∩<span class= ></img> </span> </span>, where <em>IRV</em> is the class of all <span class= ></img> </span> </span>-regularly varying functions (in the sense of Karamata) having continuous index function.</td> </tr> <tr> <td align=
Keywords:regular variability  generalized inverse  asymptotic equivalence
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