Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 5, Pages 459-468
doi:10.1155/JIA.2005.459

A note on Ostrowski's inequality

Aurelia Florea1 and Constantin P. Niculescu2

 1Department of Philology, University of Craiova, Craiova 200585, Romania
2Department of Mathematics, University of Craiova, Craiova 200585, Romania
Received 8 December 2003; Revised 10 February 2004

Abstract

This paper deals with the problem of estimating the deviation of the values of a function from its mean value. We consider the following special cases: (i) the case of random variables (attached to arbitrary probability fields); (ii) the comparison is performed additively or multiplicatively; (iii) the mean value is attached to a multiplicative averaging process.