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凸体几何一些经典不等式的等价性
引用本文:赵长健,冷岗松,李小燕.凸体几何一些经典不等式的等价性[J].数学学报,2005,48(2):347-354.
作者姓名:赵长健  冷岗松  李小燕
作者单位:[1]中国计量学院信息与数学科学系,杭州310018 [2]上海大学数学系,上海200444 [3]湖南师范大学数学系,长沙410000
基金项目:国家自然科学基金资助项目(10271071) 山东省高校中青年学术骨干基金资助项目
摘    要:本文惊奇地发现,凸体几何中一些具有较高应用价值的经典不等式之间存在 着等价性,作者给出了精辟的论证.

关 键 词:Minkowski不等式  Brunn-Minkowski不等式  混合体积

Equivalence Properties of Some Classical Inequalities for Convex Bodies Geometry
Chang Jian ZHAO.Equivalence Properties of Some Classical Inequalities for Convex Bodies Geometry[J].Acta Mathematica Sinica,2005,48(2):347-354.
Authors:Chang Jian ZHAO
Institution:Chang Jian ZHAO Department of Information and Mathematical Science, The College of Science, China Institute of Metrology, Hangzhou 310018, P. R. China Gang Song LENG Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China Xiao Yan LI Department of Mathematics, Hunan Normal University, Changsha 410000, P. R. China
Abstract:The purpose of the present paper is to point out the equivalence properties of some classical inequalities which are some dramatic inequalities of particular importance in Convex Geometric Analysis.
Keywords:Minkowski inequality  Brunn-Minkowski inequality  Mixed volume
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