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.
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)
