Open Access

On Star Duality of Mixed Intersection Bodies

Journal of Inequalities and Applications20062007:039345

DOI: 10.1155/2007/39345

Received: 7 July 2006

Accepted: 30 October 2006

Published: 26 December 2006

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Shanghai University
(2)
Department of Mathematics, Shanghai University of Electric Power
(3)
Department of Mathematics, Jiangsu University

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Copyright

© Lu Fenghong et al. 2007

This article is published under license to BioMed Central Ltd. 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.