浙江大学学报（理学版）2012，Vol.39Issue(1)：12-17,6.DOI:10.3785/j.issn.1008-9497.2012.01.004
关于单形几个几何不等式的稳定性
The stability of some geometric inequalities for a simplex
摘要
Abstract
Using the theory and methods of metric geometry to study the problems of stability, which is some geometric inequalities for an n-simplex in the n-dimensional Euclidean space E". From the deviation regular metric of two simplexes, we prove that Sallee-Alexander's and Yang-Zhang's inequalities for the width of an n-simplex are all stable, and also prove that Veljan-Korchmaros's inequalities for the medians and the middle sections of an n-simplex are all stable. The stability versions of these geometric inequalities for a simplex are established,and these geometric inequalities are improved.关键词
Euclidean空间/单形/宽度/中线/中面/稳定性Key words
Euclidean space/ simplex/ width/ median/ middle section/ stability分类
数理科学引用本文复制引用
杨世国,王文,齐继兵,钱娣..关于单形几个几何不等式的稳定性[J].浙江大学学报（理学版）,2012,39(1):12-17,6.基金项目
国家自然科学基金资助项目(60671051) （60671051）
安徽省高校省级重点项目(KJ2009A45). （KJ2009A45）
