Functional inequalities involving Bessel and modified Bessel functions of the first kind
نویسنده
چکیده
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. 2008 Elsevier GmbH. All rights reserved. MSC 2000: 33C10; 33C15; 26D05
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