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Inequalities for dual affine quermassintegrals

Journal of Inequalities and Applications volume 2006, Article number: 50181 (2006) Cite this article

Abstract

For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski inequality, the dual Brunn-Minkowski inequality, and the Blaschke-Santaló inequality.

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Authors and Affiliations

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

    Yuan Jun & Leng Gangsong

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  1. Yuan Jun
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  2. Leng Gangsong
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Correspondence to Yuan Jun.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jun, Y., Gangsong, L. Inequalities for dual affine quermassintegrals. J Inequal Appl 2006, 50181 (2006). https://doi.org/10.1155/JIA/2006/50181

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  • DOI: https://doi.org/10.1155/JIA/2006/50181

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