JIPAM logo: Home Link
 
Home Editors Submissions Reviews Volumes RGMIA About Us
 

   
  Volume 6, Issue 4, Article 111
 
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.

         
       
  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page
 

      search [advanced search] copyright 2003 terms and conditions login