Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1331-1337.

• Articles • Previous Articles     Next Articles

Generalizations of Busemann's Inequality with Applications

  

  1. 1.Department of Mathematics, Shanghai University, Shanghai 200444|2.Department of Mathematics, Nanjing Xiaozhuang University, Nanjing 211171
  • Received:2007-08-31 Revised:2008-09-08 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10671119)、上海市教委重点学科建设项目(T50101)和江苏省博士后基金(0801043C)资助

Abstract:

In this paper, we  generalize the Busemann's inequality. As applications, we get the dual Brunn-Minkowski
inequality of the generalized intersection bodies.

Key words: Busemanns inequality, Log-concave function, Dual Brunn Minkowski inequality, Intersection body

CLC Number: 

  • 52A40
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