| 摘要: |
| 证明关于原点对称的凸多面体P满足U(P)≤((n!)1/n)/nV(P),并且当且仅当P为平行多面体时等号成立. |
| 关键词: 不等式 凸多面体 数学归纳法 |
| DOI： |
| 投稿时间：2008-01-04 |
| 基金项目: |
|
| An Inequality about Convex Polytopes |
|
WU Shu-hong
|
| (Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan, Hubei, 430070, China) |
| Abstract: |
| An inequality U (P)≤ ( (n!)1/n)/n V (P)about convex polytopes has been proved in this paper, and the equality hold up if and only if P is a parallelotope. |
| Key words: inequality convex polytopes mathematical induction |
