A refinement of an equivalent form of a Gerretsen inequality

被引：4
作者：
Liu, Jian [1 ]
机构：
[1] East China Jiaotong Univ, Nanchang 330013, Jiangxi, Peoples R China
来源：
JOURNAL OF GEOMETRY | 2015年 / 106卷 / 03期
关键词：
Triangle; Gerretsen inequality; symmedian; interior point; Erdos-Mordell inequality; conjecjtue;
D O I：
10.1007/s00022-015-0275-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, by using the important "R-r-s" method in the theory of triangle inequalities and employing mathematical software Maple for the calculations, the author refines an equivalent form of one of the Gerretsen inequalities. We also propose some interesting conjectures which have been checked by computer.
引用
收藏
页码：605 / 615
页数：11
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