The stability of some geometric inequalities for a simplex(关于单形几个几何不等式的稳定性)

The stability of some geometric inequalities for a simplex(关于单形几个几何不等式的稳定性)

利用度量几何的理论与方法研究了n维欧氏空间En中n维单形几个几何不等式的稳定性，从2个单形偏正度量证明了n维单形宽度的Sallee-Alexander不等式与杨-张不等式是稳定的；证明了 n维单形中线型与中面型Veljan-Korchmaros不等式是稳定的.并给出了单形的几何不等式的稳定性版本，从而推广了这类几何不等式....

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Bibliographic Details
Main Authors: YANGShi-guo(杨世国), WANGWen(王文), QIJi-bing(齐继兵), QIANDi(钱娣)
Format: Article
Language:zho
Published: Zhejiang University Press 2012-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
euclidean空间
单形
宽度
中线
中面
稳定性
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2012.01.004

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