| E^n空间中Finsler—Hadwiger不等式的k维对偶式 |
| |
| 引用本文： | 张晗方.E^n空间中Finsler—Hadwiger不等式的k维对偶式[J].数学杂志,1999,19(4):377-380. |
| |
| 作者姓名： | 张晗方 |
| |
| 作者单位： | 徐州师范大学!徐州221009 |
| |
| 摘 要： | 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Ｅ＾ｎ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－Ｈａｄｗｉｇｅｒ不等式在Ｅ＾ｎ中的Ｋ维对偶式。
|
| 关 键 词： | 单形 对偶式 F－H不等式 欧氏空间 体积 |
THE k DIMENSIONAL ANTITHETIC FORMULA OF FINSLER HADWIGER INEQUALITY IN E n |
| |
| Zhang Hanfang.THE k DIMENSIONAL ANTITHETIC FORMULA OF FINSLER HADWIGER INEQUALITY IN E n[J].Journal of Mathematics,1999,19(4):377-380. |
| |
| Authors: | Zhang Hanfang |
| |
| Abstract: | 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. |
| |
| Keywords: | simplex Finsler Hadwiger inequality antithetic formula |
| 本文献已被 CNKI 维普 等数据库收录！ |
