Open Access Research Article

Some Inequalities for Modified Bessel Functions

Andrea Laforgia and Pierpaolo Natalini*

Author Affiliations

Department of Mathematics, Rome Tre University, L.go S. Leonardo Murialdo, 00146 Rome, Italy

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Journal of Inequalities and Applications 2010, 2010:253035  doi:10.1155/2010/253035

Published: 24 January 2010

Abstract

We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by the relevance of the function , , in many contexts of applied mathematics and, in particular, in some elasticity problems Simpson and Spector (1984), we establish new inequalities for . The results are based on the recurrence relations for and and the TurĂ¡n-type inequalities for such functions. Similar investigations are developed to establish new inequalities for .