Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 3, Pages 277-288
doi:10.1155/JIA.2005.277

A Grüss-type inequality and its applications

Saichi Izumino,1 Josip E. Pečarić,2 and Božidar Tepeš3

 1Department of Mathematics, Faculty of Education, Toyama University, 3190 Gofuku, Toyama 930-8555, Japan
2Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, Zagreb 10 000, Croatia
3Faculty of Philosophy, University of Zagreb, I. Lučića 3, Zagreb 10 000, Croatia
Received 7 August 2003

Abstract

We give a Grüss-type inequality which is a refinement of a result due to Dragomir and Agarwal. We also give its applications for the moments of random variables, guessing mappings, and Ozeki's inequality.