Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 325845, 6 pages
Recurring Mean Inequality of Random Variables
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 .