Jordan-type inequalities for generalized Bessel functions. (English) Zbl 1171.33302

Baricz, Árpád

JIPAM, J. Inequal. Pure Appl. Math. 9, No. 2, Paper No. 39, 6 p. (2008).

Some Jordan-type inequalities for generalized Bessel functions are presented in this note. Some recent results concerning generalized and sharp versions of the well-known Jordan’s inequality are extended on their basis.

Reviewer: Juri M. Rappoport (Moskva)

MSC:

33C10	Bessel and Airy functions, cylinder functions, \({}_0F_1\)
26D05	Inequalities for trigonometric functions and polynomials

Keywords:

Bessel functions; modified Bessel functions; jordan’s inequality