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Acta Mathematica Scientia

, Volume 39, Issue 4, pp 945–954 | Cite as

The Orlicz Brunn-Minkowski Inequality for Dual Harmonic Quermassintegrals

  • Xiang Wu (吴翔)Email author
  • Shougui Li (李寿贵)Email author
Article
  • 12 Downloads

Abstract

Within the framework of Orlicz Brunn-Minkowski theory recently introduced by Lutwak, Yang, and Zhang [20, 21], Gardner, Hug, and Weil [5, 6] et al, the dual harmonic quermassintegrals of star bodies are studied, and a new Orlicz Brunn-Minkowski type inequality is proved for these geometric quantities.

Key words

Star body dual harmonic quermassintegrals Orlicz Brunn-Minkowski inequality 

2010 MR Subject Classification

52A39 52A40 52A22 

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.School of ScienceWuhan University of Science and TechnologyWuhanChina

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