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  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 $ beta $ function. As applications, we consider some equivalent inequalities.

         
       
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