C. Giordano et al., SUPPLEMENTS TO KNOWN INEQUALITIES FOR SOME SPECIAL-FUNCTIONS, Journal of mathematical analysis and applications, 200(1), 1996, pp. 34-41
We establish some inequalities for the Bessel functions of the first k
ind J(nu)(x) and for the modified Bessel functions I-nu(x) and K-nu(x)
. Some of these results are obtained using the method of Giordano and
Laforgia which is based essentially on the arithmetic-geometric mean i
nequality. Other results are established as a consequence of the class
ical Holder and Gram inequalities. (C) 1996 Academic Press, Inc.