SUPPLEMENTS TO KNOWN INEQUALITIES FOR SOME SPECIAL-FUNCTIONS

Citation
C. Giordano et al., SUPPLEMENTS TO KNOWN INEQUALITIES FOR SOME SPECIAL-FUNCTIONS, Journal of mathematical analysis and applications, 200(1), 1996, pp. 34-41
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
200
Issue
1
Year of publication
1996
Pages
34 - 41
Database
ISI
SICI code
0022-247X(1996)200:1<34:STKIFS>2.0.ZU;2-V
Abstract
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.