Extension of Frame's type inequalities to Bessel and modified Bessel functions
Classical Analysis and ODEs
2016-03-15 v1
Abstract
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we extend the hyperbolic analogue of these trigonometric inequalities. As an application of these results we present a generalization of Cusa-type inequality to modified Bessel function. Our main motivation to write this paper is a recent publication of Chen and S\'andor, which we wish to complement.
Keywords
Cite
@article{arxiv.1603.04024,
title = {Extension of Frame's type inequalities to Bessel and modified Bessel functions},
author = {Khaled Mehrez},
journal= {arXiv preprint arXiv:1603.04024},
year = {2016}
}