Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 84825, 11 pages
doi:10.1155/JIA/2006/84825

Dual Lp affine isoperimetric inequalities

Si Lin,1 Xiong Bin,2 and Yu Wuyang3

 1School of Science, Beijing Forestry University, Beijing 100083, China
2Department of Mathematics, East China Normal University, Shanghai 200062, China
3Department of Mathematics, Shanghai University, Shanghai 200444, China
Received 11 November 2005; Revised 26 June 2006; Accepted 6 July 2006

Abstract

We establish some inequalities for the dual p-centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we establish a Brunn-Minkowski-type inequality for the polar of dual p-centroid bodies.