| En中Gerber不等式的加强与应用 |
| |
| 引用本文： | 陈士龙,杨世国. En中Gerber不等式的加强与应用[J]. 淮北煤炭师范学院学报(自然科学版), 2007, 28(1): 6-9 |
| |
| 作者姓名： | 陈士龙 杨世国 |
| |
| 作者单位： | 1. 安徽大学数学与计算科学学院,安徽,合肥,230039
2. 安徽教育学院数学系,安徽,合肥,230061 |
| |
| 基金项目： | 安徽省高校省级重点项目(2006KJ067A) |
| |
| 摘 要： | 文章利用几何不等式理论与解析方法,研究了n维单形的内点到单形各侧面的距离与单形体积的不等式问题,给出了n维单形的Gerber不等式的推广,并给出了它的若干应用。
|
| 关 键 词： | 单形 体积 重心坐标 不等式 |
| 文章编号： | 1672-7177(2007)01-0006-04 |
| 修稿时间： | 2006-08-02 |
Generalization of Gerber''''s Inequality with Some Applications |
| |
| CHEN Shi-long,YANG Shi-guo. Generalization of Gerber''''s Inequality with Some Applications[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2007, 28(1): 6-9 |
| |
| Authors: | CHEN Shi-long YANG Shi-guo |
| |
| Abstract: | The author studied the problem for an interior point of a simplex by the theory of geometry and analytic method.The Gerber inequality for an n-dimention simplex was improved and a class of applications were established. |
| |
| Keywords: | simplex volume barycentric coordinate inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
