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  • Research Article
  • Open Access

On Star Duality of Mixed Intersection Bodies

Journal of Inequalities and Applications20062007:039345

  • Received: 7 July 2006
  • Accepted: 30 October 2006
  • Published:


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.


  • Mixed Intersection
  • Intersection Body
  • Projection Body
  • Star Body
  • Geometric Inequality


Authors’ Affiliations

Department of Mathematics, Shanghai University, Shanghai, 200444, China
Department of Mathematics, Shanghai University of Electric Power, Shanghai, 200090, China
Department of Mathematics, Jiangsu University, Jiangsu, 212013, China


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© 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.