Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 505-510.

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SOME INEQUALITIES ABOUT DUAL MIXED VOLUMES OF STAR BODIES

Li Xiaoyan,Leng Gangsong   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by NNSFC(10271071)

Abstract:

The authors establish some inequalities about the dual mixed volumes of star
bodies in Rn. These inequalities are the analogue in the Brunn-Minkowski theory of the
inequalities of Marcus-Lopes and Bergstrom about symmetric functions of positive reals.
 

Key words: Brunn-Minkowski theory;star bodies;dual mixed volumes;Aleksandrov-
Fenchel inequality.

CLC Number: 

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