摘要
Erd¨os-Mordell不等式是几何不等式中的一个著名结果。自1935年提出以来,大量文献围绕它进行了研究。本文应用重要的Wolstenholme不等式的代数形式给出了Erdo¨s-Mordell不等式的一个加强,应用加强的结果和有关三角形与一动点的几何不等式变换原则,给出了一个有趣的不等式链,提出并应用计算机验证了4个未解决的猜想。
Erds-Mordell Inequality is a famous result of the Geometry Inequality.Already a lot of papers have carried on research in to it since 1935.In this paper a sharpening of the Erds-Mordell Inequality is given by using the algebra form of important Wosstenholme Inequality.Applying this result and the tansformation rules of the geometric inequality about a triangle and moving point,an interesting chain of the geometric inequality is brought out.Finaly,four conjectures to be solved are put forward and tested and verified by the computer.
出处
《重庆师范大学学报（自然科学版）》
CAS
2005年第2期12-14,共3页
Journal of Chongqing Normal University:Natural Science
关键词
三角形
点
实数
不等式
triangle
point
real number
inequality
