Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (4): 945-954.doi: 10.1007/s10473-019-0403-3

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THE ORLICZ BRUNN-MINKOWSKI INEQUALITY FOR DUAL HARMONIC QUERMASSINTEGRALS

Xiang WU, Shougui LI   

  1. School of Science, Wuhan University of Science and Technology, Wuhan 430065, China
  • Received:2017-10-27 Revised:2018-10-15 Online:2019-08-25 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.

Key words: Star body, dual harmonic quermassintegrals, Orlicz Brunn-Minkowski inequality

CLC Number: 

  • 52A39
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