摘要
利用距离几何的理论与方法研究了欧氏空间中n维单形的几个几何不等式的稳定性,从两个单形的"偏正"度量证明了n维单形四个重要几何不等式的稳定性,并给出这些几何不等式的稳定性版本。
Using the theory and method of distance geometry, the problems of stability of some geometric inequalities for an n-dimensional simplex in the Euclidean space is studied. From the deviation regular metric of two simplexes, the stabilities of four important geometric inequalities of an n-dimensional simplex are proved, and the stability versions of these geometric inequalities for a simplex are given.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2011年第2期117-122,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(60671051)
安徽省高校省级重点基金资助项目(KJ2009A45)