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  • Research Article
  • Open Access

Dual affine isoperimetric inequalities

Journal of Inequalities and Applications20062006:84825

  • Received: 11 November 2005
  • Accepted: 6 July 2006
  • Published:


We establish some inequalities for the dual -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 -centroid bodies.


  • Isoperimetric Inequality
  • Dual Form
  • Centroid Body
  • Affine Isoperimetric Inequality


Authors’ Affiliations

School of Science, Beijing Forestry University, Beijing, 100083, China
Department of Mathematics, East China Normal University, Shanghai, 200062, China
Department of Mathematics, Shanghai University, Shanghai, 200444, China


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© Si Lin et al. 2006

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.