Publications de l'Institut Mathématique (Beograd) Vol. 72(86), pp. 5561 (2002) 

INTEGRAL KERNELS WITH REGULAR VARIATION PROPERTYSlavko Simi\'cMatemati\v cki institut SANU, Beograd, YugoslaviaAbstract: We give a necessary and sufficient condition for a positive measurable kernel ${\bold C}(\cdot)$ to satisfy $$ \int_1^xf(t){\bold C}(t)dt\sim f(x)\int_1^x\bold C(t)dt\qquad(x\to\infty) $$ whenever $f(\cdot)$ is from the class of Karamata's regularly varying functions. Keywords: integral kernel; Karamata's regularly varying functions Classification (MSC2000): 26A12 Full text of the article:
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