J4 ›› 2011, Vol. 46 ›› Issue (6): 75-78.

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A class of geometric inequalities about generalized metric addition

YANG Shiguo1, QI Jibing1, WANG Wen2*   

  1. 1. Department of Mathematics, Hefei Teachers College, Hefei 230061， Anhui, China;
    2. School of Mathematical Sciences, Anhui University, Hefei 230039, Anhui, China
  • Received:2010-05-14 Online:2011-06-16 Published:2011-12-19

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Abstract:

The problem about generalized metric addition of n-simplex in Euclidean space En is investigated, one class of geometric inequalities on generalized metric addition about simplex volume is obtained, which generalizes the known results about simplex generalized metric and metric addition.

Key words: simplex; volume; generalized metric addition; geometric inequality

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