Journal of Inequalities and Applications 
Volume 5 (2000), Issue 2, Pages 103-165
doi:10.1155/S1025583400000084

Inequalities for Beta and Gamma functions via some classical and new integral inequalities

S. S. Dragomir,1 R. P. Agarwal,2 and N. S. Barnett1

 1School and Communications and Informatics, Victoria University of Technology, P.O. Box 14428, Melbourne City MC 8001, Victoria, Australia
2Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 119260, Singapore
Received 4 January 1999; Revised 20 April 1999

Abstract

In this survey paper we present the natural applications of certain integral inequalities such as Chebychev’s inequality for synchronous and asynchronous mappings, Hölder’s inequality and Grüss’ and Ostrowski’s inequalities for the celebrated Euler’s Beta and Gamma functions. Natural applications dealing with some adaptive quadrature formulae which can be deduced from Ostrowski’s inequality are also pointed out.