Volume no :40, Issue no: 1, July

AN IMPROVEMENT OF A BETA FUNCTION INEQUALITY

Author's: Péter Ivády
Pages: [35] - [53]
Received Date: May 22, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121668

Abstract

In this paper, we present a beta function inequality on which improves an inequality of the author. A new inequality for the function is also given, which improves an inequality of Gordon. Some elementary inequalities of one and two real variables are proved.

Keywords

beta function, gamma function, psi function, inequalities, convex function, Hermite-Hadamard inequality, Jensen’s inequality.