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
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
Copyright © 2000 S. S. Dragomir et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.