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  Volume 10, Issue 1, Article 25
On a Decomposition of Hilbert's Inequality

    Authors: Bicheng Yang,  
    Keywords: Hilbert's inequality; Weight coefficient; Equivalent form; Hilbert-type inequality.  
    Date Received: 07/10/08  
    Date Accepted: 20/03/09  
    Subject Codes:


    Editors: Bohumir Opic,  

By using the Euler-Maclaurin's summation formula and the weight coefficient, a pair of new inequalities is given, which is a decomposition of Hilbert's inequality. The equivalent forms and the extended inequalities with a pair of conjugate exponents are built.

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