Busemann不等式的推广及其应用

数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1331-1337.

Busemann不等式的推广及其应用

1.上海大学数学系上海 200444|2.南京晓庄学院数学系南京 211171

收稿日期:2007-08-31 修回日期:2008-09-08 出版日期:2009-10-25 发布日期:2009-10-25
基金资助:
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

Generalizations of Busemann's Inequality with Applications

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

摘要/Abstract

摘要：

该文推广了Busemann不等式,并应用它得到了一种广义相交体的对偶Brunn-Minkowski不等式.

关键词: Busemann不等式, 对数凹函数, 对偶Brunn-Minkowski不等式, 相交体

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

中图分类号:

52A40

汪卫, 袁俊, 何斌吾. Busemann不等式的推广及其应用[J]. 数学物理学报, 2009, 29(5): 1331-1337.

WANG Wei, YUAN Jun, HE Bin-Wu. Generalizations of Busemann's Inequality with Applications[J]. Acta mathematica scientia,Series A, 2009, 29(5): 1331-1337.

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