| 对偶Brunn-Minkowski型不等式 |
| |
| 引用本文： | 潘东云,王凯,袁俊.对偶Brunn-Minkowski型不等式[J].数学杂志,2011,31(5). |
| |
| 作者姓名： | 潘东云 王凯 袁俊 |
| |
| 作者单位： | 1. 凯里学院理学院,凯里贵州,556011
2. 南京晓庄学院数学与信息技术学院,江苏南京,211171 |
| |
| 基金项目： | Supported by Natural Scientific Research Project of Guizhou Provincial Education Department (2007084); Kaili University (Z1013); the Key Discipline Construction Project of Kaili University (KZD2009001) |
| |
| 摘 要： | 本文研究了对偶Brunn-Minkowski不等式问题.利用对偶混合体和Blaschke径向和的性质,建立了对偶混合体均质积分的Brunn-Minkowski不等式的隔离形式,推广了对偶Brunn-Minkowski理论的几个不等式.
|
| 关 键 词： | 星体 对偶混合体 对偶Brunn-Minkowski不等式 |
ON DUAL BRUNN-MINKOWSKI INEQUALITY |
| |
| PAN Dong-yun,WANG Kai,YUAN Jun.ON DUAL BRUNN-MINKOWSKI INEQUALITY[J].Journal of Mathematics,2011,31(5). |
| |
| Authors: | PAN Dong-yun WANG Kai YUAN Jun |
| |
| Institution: | PAN Dong-yun 1,WANG Kai 1,YUAN Jun 2 (1.College of Sciences,Kaili University,Kaili 556011,China) (2.School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,China) |
| |
| Abstract: | In this paper,we study the problem of Brunn-Minkowski inequalities.Applying the property of dual mixed body and radial Blaschke linear addition,we establish the isolate form of the Brunn-Minkowski inequalities for the quermassintegrals of dual mixed body,strengthen some inequalities in the dual Brunn-Minkowski theory. |
| |
| Keywords: | star body dual mixed body dual Brunn-Minkowski inequality |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
