Some Inequalities for Modified Bessel Functions
Department of Mathematics, Rome Tre University, L.go S. Leonardo Murialdo, 00146 Rome, Italy
Journal of Inequalities and Applications 2010, 2010:253035 doi:10.1155/2010/253035Published: 24 January 2010
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 Turán-type inequalities for such functions. Similar investigations are developed to establish new inequalities for .