Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 325845, 6 pages
Research Article

Recurring Mean Inequality of Random Variables

Mingjin Wang

Department of Applied Mathematics, Jiangsu Polytechnic University, Changzhou, Jiangsu 213164, China

Received 16 August 2007; Revised 25 February 2008; Accepted 9 May 2008

Academic Editor: Jewgeni Dshalalow

Copyright © 2008 Mingjin Wang. 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.


A multidimensional recurring mean inequality is shown. Furthermore, we prove some new inequalities, which can be considered to be the extensions of those established inequalities, including, for example, the Polya-Szegö and Kantorovich inequalities .