Generalization of Yang-Zhang's Inequalities and Applications |
Received:December 02, 2005 Revised:July 02, 2006 |
Key Words:
simplex volume Yang-Zhang's inequalities Darboux theorem geometric inequality.
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Fund Project:National Key Basic Research Program of China (2004CB318003). |
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Abstract: |
In this paper, making use of Darboux's theorem and the eigenvalue method, the famous Yang-Zhang's inequalities are generalized to two completely directional mass-point system in Euclidean space $E^n$. A class of geometric inequalities are established, as its applications, some new triangular inequalities are given. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2007.04.043 |
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