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The Generalization of Hilbert's Integral Inequality With Some ParametersJ. Journal of South China Normal University (Natural Science Edition), 2009, 1(1): 29-33 .
Citation: The Generalization of Hilbert's Integral Inequality With Some ParametersJ. Journal of South China Normal University (Natural Science Edition), 2009, 1(1): 29-33 .
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The Generalization of Hilbert's Integral Inequality With Some Parameters

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  • By introducing some parameters, a new generalization of Hilbert's integral inequality with the best constant factor was obtained, which involves the \beta function. As its applications, the equivalent form and some particular results were investigated.
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