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Variation diminishing convolution kernels associated with second-order differential operators
Journal article   Peer reviewed

Variation diminishing convolution kernels associated with second-order differential operators

F. Bouzeffour, M. Dziri and A. Fitouhi
Integral transforms and special functions, Vol.24(12), pp.1012-1026
01/12/2013
DOI: https://doi.org/10.1080/10652469.2013.806506

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we generalize the theory of variation diminishing kernels introduced by Hirschman, Jr and van de Wetering for a class of singular second-order differential operators introduced by Chebli and Trimeche. We give a necessary and sufficient condition such that a function is a variation diminishing convolution kernel.

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