Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 82038, 7 pages
doi:10.1155/2007/82038
Research Article

Extension of Oppenheim's Problem to Bessel Functions

Árpád Baricz1 and Ling Zhu2

1Faculty of Economics, Babeş-Bolyai University, Cluj-Napoca RO-400591, Romania
2Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Received 10 September 2007; Accepted 22 October 2007

Recommended by Andrea Laforgia

Abstract

Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.