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TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS

Published online by Cambridge University Press:  07 April 2010

ÁRPÁD BARICZ*
Affiliation:
Department of Economics, Babeş-Bolyai University, Cluj-Napoca 400591, Romania (email: bariczocsi@yahoo.com)
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Abstract

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In this paper our aim is to deduce some sharp Turán type inequalities for modified Bessel functions of the first and second kinds. Our proofs are based on explicit formulas for the Turánians of the modified Bessel functions of the first and second kinds and on a formula which is related to the infinite divisibility of the Student t-distribution.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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