摘要
本文利用杨路和张景中创造的特征根的方法和Darboux定理,将著名的杨-张不等式推广到n维欧氏空间的两个完全同向的有限质点组中,获得了有限质点组的一类几何不等式,作为其应用,给出了一些新的三角形不等式.
In this paper, making use of Darboux＇s theorem and the eigenvalue method, the famous Yang-Zhang＇s inequalities are generalized to two completely directional mass-point system in Euclidean space E^n. A class of geometric inequalities are established, as its applications, some new triangular inequalities are given.
基金
国家973计划基金(2004CB318003)
