一个加权的几何不等式  

A Weighted Geometric Inequality

作　　者：刘健 

出　　处：《华东交通大学学报》1997年第4期68-75,共8页Journal of East China Jiaotong University

摘　　要：应用Ｈｏｄｅｒ不等式与Ｗｏｌｓｔｅｎｈｏｌｍｅ不等式，建立了涉及三角形边长与内角平分线的一个加权不等式，据之推证其它一些新的三角形不等式，并提出有关的几个未解决的问题与猜想．By applying the inequalities of Hlder and wolstenholme,we have established a weighted geometric inequality related to the side length of a triangle and the angle-bisector. From this inequality, we also have proved some other triangle inequalities and proposed ceveral relevant unsolved problems and conjectures .

关 键 词：不等式 三解形 内角平分线 几何不等式 

分 类 号：O181[理学—数学]