| 
         
        
           |  |  |  |   
          |  | Volume 5, Issue 4, Article 96 |  |   
          |  |  |  |  |  |  | On the Extended Hilbert's Integral Inequality
 
 
 |   
          |  |  | Authors: | Bicheng Yang, |  |   
          |  |  | Keywords: | Hilbert's inequality, weight function, $\beta $ function, Hölder's inequality. |  |   
          |  |  | Date Received: | 21/05/03 |  |   
          |  |  | Date Accepted: | 21/10/04 |  |   
          |  |  | Subject Codes: | 26D15. |  |   
          |  |  | Editors: | Sever S. Dragomir, |  |   
          |  |   
          |  |  |  |  |  |   
          |  |  | Abstract: |  This paper gives two distinct generalizations of the extended Hilbert's integral inequality with the same best constant factor involving the  function. As applications, we consider some equivalent inequalities. |   
          |  |  |  |  |  |   
          |  |  |  |  |  |   
          |  |  |  |  |  |  |