Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 39345, 12 pages
doi:10.1155/2007/39345
Research Article

On Star Duality of Mixed Intersection Bodies

Lu Fenghong,1,2 Mao Weihong,3 and Leng Gangsong1

 1Department of Mathematics, Shanghai University, Shanghai 200444, China
2Department of Mathematics, Shanghai University of Electric Power, Shanghai 200090, China
3Department of Mathematics, Jiangsu University, Jiangsu 212013, China
Received 7 July 2006; Revised 22 October 2006; Accepted 30 October 2006

Recommended by Y. Giga

Abstract

A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established. A geometric inequality is derived between the volumes of star duality of star bodies and their associated mixed intersection integral.