Research Article
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:10.1155/2010/253035
Published: 24 January 2010Abstract
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 
.
