EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 78(92), pp. 73–77 (2005)

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GENERAL KERNEL CONVOLUTIONS WITH SLOWLY VARYING FUNCTIONS

Slavko Simic

Matematicki institut SANU, Beograd, Serbia and Montenegro

Abstract: We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolutions with slowly varying functions in the sense of Karamata. In applications we showed that the content of some classical theorems can be naturally extended on some parts of complex $z$-plane.

Classification (MSC2000): 30E15; 26A12

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Electronic fulltext finalized on: 2 Mar 2006. This page was last modified: 27 Oct 2006.

© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
© 2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition