Articles

THE ORLICZ BRUNN-MINKOWSKI INEQUALITY FOR DUAL HARMONIC QUERMASSINTEGRALS

  • Xiang WU ,
  • Shougui LI
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  • School of Science, Wuhan University of Science and Technology, Wuhan 430065, China

Received date: 2017-10-27

  Revised date: 2018-10-15

  Online published: 2019-09-12

Supported by

Research of the authors was supported by NSFC (11601399).

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.

Cite this article

Xiang WU , Shougui LI . THE ORLICZ BRUNN-MINKOWSKI INEQUALITY FOR DUAL HARMONIC QUERMASSINTEGRALS[J]. Acta mathematica scientia, Series B, 2019 , 39(4) : 945 -954 . DOI: 10.1007/s10473-019-0403-3

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