Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (3): 739-746.doi: 10.1016/S0252-9602(10)60075-6

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THE DUAL BRUNN-MINKOWSKI INEQUALITIES FOR STAR DUAL OF MIXED INTERSECTION BODIES

 ZHU Xian-Yang, SHEN Ya-Jun   

  1. Department of Mathematics, |Jinggangshan University, Ji'an 343009, China|Department of Mathematics, Zhejiang Forestry University, Lin'an 311300, China
  • Received:2007-07-25 Revised:2008-03-20 Online:2010-05-20 Published:2010-05-20
  • Supported by:

    Supported by the National Natural Sciences Foundation of China (10801140)

Abstract:

In this article, some dual Brunn-Minkowski inequalities are established for star dual of mixed intersection
bodies with respect to the harmonic p-combination and p-radial linear combination.

Key words: Star body, intersection body, star duality,  harmonic p-combination, p-radial linear combination

CLC Number: 

  • 52A40
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