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The Best Constant for a Geometric Inequality  
 
  Authors: Yu-dong Wu,  
  Keywords: Best Constant, Geometric Inequality, Euler's Inequality, Gerretsen's Inequality, Sylvester's Resultant.  
  Date Received: 29/04/05  
  Date Accepted: 02/09/05  
  Subject Codes:

Primary 52A40. Secondary 52C05.

  
  Editors: Jozsef Sandor,  
 
  Abstract:

In this paper, we prove that the best constant for the geometric inequality $ frac{11sqrt{3}}{5R+12r+k(2r-R)}leqfrac{1}{a}+frac{1}{b}+frac{1}{c}$ is a root of one polynomial by the method of mathematical analysis and linear algebra.;


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