崔志锋, 刘名生. 多参量Hilbert积分不等式的推广[J]. 华南师范大学学报（自然科学版）, 2009, 1(1): 29-33 .
引用本文: 崔志锋, 刘名生. 多参量Hilbert积分不等式的推广[J]. 华南师范大学学报（自然科学版）, 2009, 1(1): 29-33 .
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The Generalization of Hilbert's Integral Inequality With Some Parameters[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(1): 29-33 .
Citation: The Generalization of Hilbert's Integral Inequality With Some Parameters[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(1): 29-33 .
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多参量Hilbert积分不等式的推广

The Generalization of Hilbert's Integral Inequality With Some Parameters

    摘要
  • 摘要: 通过引入多个参数和\beta函数,得到一个推广的具有最佳常数因子的Hilbert积分不等式.同时, 考虑了它的等价形式和一些特殊结果.

     

    Abstract: 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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