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  Volume 8, Issue 4, Article 116
 
Sharpening on Mircea's Inequality

    Authors: Yu-dong Wu, Zhi-Hua Zhang, V. Lokesha,  
    Keywords: Best constant, Mircea's inequality, Sylvester's resultant, Discriminant sequence, Nonlinear algebraic equation system.  
    Date Received: 20/06/07  
    Date Accepted: 11/10/07  
    Subject Codes:

51M16, 52A40.

 
    Editors: Jozsef Sandor,  
 
    Abstract:

In this paper, by using one of Chen's theorems, combining the method of mathematical analysis and nonlinear algebraic equation system, Mircea's Inequality involving the area, circumradius and inradius of the triangle is sharpened.

         
       
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