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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: 19 September 2006

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 InequalityDual FormCentroid BodyAffine Isoperimetric Inequality

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Authors’ Affiliations

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