Journal of Shanghai University(Natural Science Edition)

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Dual Quermassintegrals of Harmonic Radial Combinations

PAN Dong-yun1,2,YUAN Jun1,LENG Gang-song1   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. Department of Mathematics and Computer Science, Kaili College, Kaili 556000, Guizhou, China
  • Received:2006-10-25 Revised:1900-01-01 Online:2008-02-28 Published:2008-02-28
  • Contact: LENG Gang-song

Abstract: We establish the BrunnMinkowski inequality for the dual quermassintegrals of harmonic radial combinations of star bodies, and prove its equivalence properties to the Minkowski inequality for Lp-dual mixed quermassintegrals.

Key words: Brunn-Minkowski inequality
,
dual quermassintegrals, harmonic radial combinations, radial function, star body

CLC Number: