Journal of Jilin University Science Edition

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Generalization of New k-n Type NeubergPedoe Inequalityfor an n-Dimensional Simplex

YANG Shiguo1,2, WANG Wen1, BIAN Ge3   

  1. 1. School of Mathematics and Statistics, Hefei Normal University, Hefei 230061, China;2. Anhui Xinhua University, Hefei 230088, China;
    3. School of Mathematical Science, Anhui University, Hefei 230039, China
  • Received:2013-05-13 Online:2014-03-26 Published:2014-03-20
  • Contact: WANG Wen E-mail:wenwang1985@163.com

Abstract:

The method based on the theory of distance geometry was used to study the geometric inequalities for the volumes of two n-dimensional simplexes and their k-subsimplexes in the Euclidean space En. Some geomitric inequalities for the volumes of two n-dimenional simplexes and
their k-subsimplexes were established, and new k-n type Neuberg-Pedoe inequaity was improved.

Key words: simplex, volume, inequality

CLC Number: 

  • O184