摘要
给出了高维单形的Jani'c R R型不等式的加强形式:∑1≤i<j≤n+1a2ij/(rirj)≥n2(n-1)2(R/(nr))2/(n(n-1))≥n2(n-1)2,等号成立的充要条件是Ω为正侧单形.
The strengthening forms of Janic's R R type inequalities on the high dimensional simplex are given:∑1≤i〈j≤n+1 aij^2/(rirj)≥n^2(n-a)^2(R/(nr))^2/(n(n-1))≥n^2(n-1)^2 and the sufficient and necessary condition for the equalities is that Ω is canonical simplex.
出处
《吉首大学学报(自然科学版)》
CAS
2005年第3期72-75,共4页
Journal of Jishou University(Natural Sciences Edition)
关键词
Janic型不等式
高维单形
加强形式
Janic's inequality
high dimensional simplex
strengthening form