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.  
Fund Project:National Key Basic Research Program of China (2004CB318003).
Author NameAffiliation
YANG Ding-hua College of Mathematics and Software Sciences, Sichuan Normal University, Sichuan 610066, China
Chengdu Institute of Computer Applications, Academia Sinica, Sichuan 610041, China 
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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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