| 
         
        
           |  |  |  |   
          |  | Volume 10, Issue 1, Article 15 |  |   
          |  |  |  |  |  |  | An Inequality on Ternary Quadratic Forms in Triangles
 
 
 |   
          |  |  | Authors: | Nu-Chun Hu, |  |   
          |  |  | Keywords: | Positive semidefinite ternary quadratic form, arithmetic-mean geometric-mean inequality, Cauchy inequality, triangle. |  |   
          |  |  | Date Received: | 07/05/08 |  |   
          |  |  | Date Accepted: | 25/02/09 |  |   
          |  |  | Subject Codes: | 26D15. |  |   
          |  |  | Editors: | Sever S. Dragomir, |  |   
          |  |   
          |  |  |  |  |  |   
          |  |  | Abstract: |  In this short note, we give a proof of a conjecture about ternary quadratic orms involving two triangles and several interesting applications.
             |   
          |  |  |  |  |  |   
          |  |  |  |  |  |   
          |  |  |  |  |  |  |