逆向的Ball-Barthe不等式  

Reverse Ball-Barthe inequality

作　　者：商小曼 

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》2017年第3期316-326,共11页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11001163)

摘　　要：利用混合判别式给出了凸几何分析中著名的Ball-Barthe不等式的一个新证明,并且建立了逆向的Ball-Barthe不等式,同时给出其等号成立条件.作为逆向Ball-Barthe不等式的一个应用,给出了凸体体积的下界估计.By using mixed discriminants, a new proof of the celebrated Ball- Barthe inequality in convex geometry analysis is presented. The reverse Ball- Barthe inequality and its equality condition are established. As an application, we estimate the lower bound for the volume of a convex body.

关 键 词：混合判别式 Ball—Barthe不等式 逆向的Ball—Barthe不等式 

分 类 号：O186.5[理学—数学]