杨乔顺, 高雪梅. Hardy-Hilbert不等式的多参数的推广[J]. 信阳师范学院学报(自然科学版), 2005, 18(2): 136-139.
引用本文: 杨乔顺, 高雪梅. Hardy-Hilbert不等式的多参数的推广[J]. 信阳师范学院学报(自然科学版), 2005, 18(2): 136-139.
YANG Qiao-shun, GAO Xue-mei. The multi-parameters extension of Hardy-Hilbert[J]. Journal of Xinyang Normal University (Natural Science Edition), 2005, 18(2): 136-139.
Citation: YANG Qiao-shun, GAO Xue-mei. The multi-parameters extension of Hardy-Hilbert[J]. Journal of Xinyang Normal University (Natural Science Edition), 2005, 18(2): 136-139.

Hardy-Hilbert不等式的多参数的推广

The multi-parameters extension of Hardy-Hilbert

  • 摘要: 利用改进了的H¨older不等式,引入参数A、B和C对Hardy Hilbert不等式进行多参数的推广.作为应用,建立了一个推广的Hardy Hilbert不等式.

     

    Abstract: It is shown that the Hardy-Hilbert's inequality can be multi-parameter extended by means of a sharpening of Hlder's inequality and by introducing parameters A、B and C. As its applications,a extended Hardy-Hilbert's inequality is given.

     

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