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
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
Copyright © 2005 Aurelia Florea and Constantin P. Niculescu. 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
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.