Finsler-Hadwiger不等式的高维推广

EXTENSIN OF THE HIGH-DIMENSIONAL FINSLER-HADWIGER INEQUALITY

本文利用了文[1]和[2]中的两个不等式,将著名的Finsler-Hadwiger不等式a(-a+b+c)+b(a-b+c)+c(a+b-c)≥43^(1/2)△推广到n维欧氏空间E^n中去。

In this paper, we use two inequalities of articles [1] and [2] to generalize the famous Finsler-Hadwiger inequality a(-a+b+c)+b(a-b+c)+c(a+b-c)≥43^(1/3)△ to n-dimensional Euclidean space En.