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Dual affine isoperimetric inequalities

Journal of Inequalities and Applications volume 2006, Article number: 84825 (2006) Cite this article

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.

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Author information

Affiliations

  1. School of Science, Beijing Forestry University, Beijing, 100083, China

    Si Lin

  2. Department of Mathematics, East China Normal University, Shanghai, 200062, China

    Xiong Bin

  3. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Yu Wuyang

Authors
  1. Si Lin
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  2. Xiong Bin
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  3. Yu Wuyang
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Corresponding author

Correspondence to Si Lin.

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Lin, S., Bin, X. & Wuyang, Y. Dual affine isoperimetric inequalities. J Inequal Appl 2006, 84825 (2006). https://doi.org/10.1155/JIA/2006/84825

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Keywords

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