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  Volume 7, Issue 3, Article 113
 
Best Generalization of a Hilbert Type Inequality

    Authors: Baoju Sun,  
    Keywords: Hilbert's type integral inequality; Weight coefficient; Weight function; Hölder's inequality.  
    Date Received: 05/01/06  
    Date Accepted: 10/04/06  
    Subject Codes:

26D15.

 
    Editors: Bicheng Yang,  
 
    Abstract:

By introducing a parameter $ lambda$, we have given generalization of Hilbert's type integral inequality with a best possible constant factor. Also its equivalent form is considered, and the generalized formula corresponding to the double series inequalities are built.

         
       
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