混合半相交体的不等式（英文）  

Inequalities for mixed semi-intersection bodies

作　　者：张瑞 ZHANG Rui(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第4期941-948,共8页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11071156);the Shanghai Leading Academic Discipline Project(J50101)

摘　　要：介绍了混合半相交体不等式的概念,与Lutwak的混合半相交体不等式相一致.进一步地,建立了一些几何体不等式如双Minkowski不等式、双Brunn-Minkowski不等式和双Aleksandrov-Fenchel不等式.The concept of the mixed semi-intersection bodies is introduced,corresponding to the mixed intersection bodies due to Lutwak.Furthermore,some geometric inequalities such as the dual Minkowski inequality,the dual Brunn-Minkowski inequality,and the dual Aleksandrov-Fenchel inequality are established for the mixed semi-intersection bodies.

关 键 词：星体 对偶混合体积 混合半相交体 

分 类 号：O186.5[理学—数学]