摘要
本文证明了凸体的p次径向平均体的线性不变性和椭球的p次径向平均体仍是椭球,并且获得了p次径向平均体相应于Blaschke-Santaló不等式的一个反向不等式．
This paper proves that the radial pth mean body is invariant under a general linear transformation and that the radial pth mean body of an ellipsoid is an ellipsoid. And corresponding to the Blaschke-Santald inequality, a reverse inequality for the radial pth mean body is given.
基金
国家自然科学基金(10271071)
关键词
P次径向平均体
凸体
径向函数
the radial pth mean body
convex body
radial function.
