Functional inequalities involving Bessel and modified Bessel functions of the first kind |
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Authors: | rp d Baricz |
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Affiliation: | aFaculty of Economics, Babes-Bolyai University, RO-400591 Cluj-Napoca, Romania |
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Abstract: | In this paper, we extend some known elementary trigonometric inequalities, and their hyperbolic analogues to Bessel and modified Bessel functions of the first kind. In order to prove our main results, we present some monotonicity and convexity properties of some functions involving Bessel and modified Bessel functions of the first kind. We also deduce some Turán and Lazarević-type inequalities for the confluent hypergeometric functions. |
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Keywords: | Bessel functions Modified Bessel functions Kummer's hypergeometric functions Turá n-type inequality Lazarević -type inequality Wilker's inequality |
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