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Journal of Inequalities and Applications
Journal of Inequalities and Applications Cover Image
  • Research Article
  • Open Access

Dual affine isoperimetric inequalities

Journal of Inequalities and Applications20062006:84825

https://doi.org/10.1155/JIA/2006/84825

©  Si Lin et al. 2006

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

Abstract

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.

Keywords

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

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Authors’ Affiliations

(1)
School of Science, Beijing Forestry University, Beijing, 100083, China
(2)
Department of Mathematics, East China Normal University, Shanghai, 200062, China
(3)
Department of Mathematics, Shanghai University, Shanghai, 200444, China

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Copyright

© 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.

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