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Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .
Citation: Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .

A Hilbert's Integral Inequality with a Best Constant Factor

  • By introducing some parameters and estimating the weight function, a new Hilbert-type integral inequality with a best constant factor is given. The equivalent inequality and the reverse forms are also considered.
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