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....
Main Authors: | , , , |
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Format: | Article |
Language: | zho |
Published: |
Zhejiang University Press
2012-01-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2012.01.004 |