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http://dx.doi.org/10.5666/KMJ.2010.50.2.307

On a Bilateral Hilbert-Type Inequality with a Homogeneous Kernel of 0-Degree  

He, Bing (Department of Mathematics, Guangdong Education College)
Publication Information
Kyungpook Mathematical Journal / v.50, no.2, 2010 , pp. 307-314 More about this Journal
Abstract
By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.
Keywords
Hilbert's inequality; Weight coefficient; H$\"{o}$lder's inequality;
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