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A Proof of Two Conjectures Related to the Erdös-Debrunner Inequality  
 
  Authors: C. L. Frenzen, E. J. Ionascu, Pantelimon Stanica,  
  Keywords: Erdös-Debrunner inequality, Areas, Extrema, $p$-th power mean.  
  Date Received: 26/09/06  
  Date Accepted: 01/09/07  
  Subject Codes:

26D07, 51M16, 52A40.

 
  Editors: Sever S. Dragomir,  
 
  Abstract:

In this paper we prove some results which imply two conjectures proposed by Janous on an extension to the p-th power-mean of the Erdös-Debrunner inequality relating the areas of the four sub-triangles formed by connecting three arbitrary points on the sides of a given triangle.;



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