E^n空间中Finsler-H adw iger不等式的k维对偶式

THE k DIMENSIONAL ANTITHETIC FORMULA OF FINSLER HADWIGER INEQUALITY IN E n

本文首先给出一个代数不等式，其次利用它获得了ｎ 维欧氏空间Ｅｎ 中联系任意ｍ个单形的ｋ 维与ｎ 维体积的一个几何不等式，作为其特殊情况得到了Ｆｉｎｓｌｅｒ－Ｈａｄｗ ｉｇｅｒ 不等式在Ｅｎ 中的ｋ 维对偶式．

In this paper, we give an algebra inequality, and use it to obtain a geometric inequality of the k dimensional and the n dimensional volume of contact with arbitrarly m simplexes. As its special case, we obtain the k dimensional antithetic formula of Finsler Hadwiger inequality in Euclidean space E n.