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A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0J. Journal of South China Normal University (Natural Science Edition), 2011, (2).
Citation: A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0J. Journal of South China Normal University (Natural Science Edition), 2011, (2).
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A Hilbert -Type Series Inequality and the Reverses with the Homogeneous Kernels of Degree 0

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  • By introducing some parameters and using the way of weight functions， a new Hilbert-type series-inequality and its equivalent form are given with the homogeneous kernel of zero degree and a best constant factor．The reverses and the equivalent forms are also considered．
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