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Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 325845, 6 pages
doi:10.1155/2008/325845

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

Recommended by Jewgeni Dshalalow

Abstract

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 .