A Hilbert-type integral inequality with its best extension

  • Authors

    • Wu Weiliang teacher in School of Mathematics Jiaying University,Guangdong Meizhou 514031, China
    • Lian Donglan student of university
    2015-07-04
    https://doi.org/10.14419/gjma.v3i3.4885
  • Weight Function, Hilbert-Type Integral Inequality, Best Extension, Reverse

  • Abstract

    By using the way of weight function and the technique of real analysis, a new  Hilbert-type integral inequality with a  kernel as \(min\{x^{\lambda_1},y^{\lambda_2}\}\) and its equivalent form are established. As application, the constant factor on the plane are the best value and its best extension form with some parameters and the reverse forms are also considered.

  • References

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      [5] Bicheng Yang.On the norm of an integral operator and applications[J].J Math And Appl,2006,321:182-192.

      [6] Weiliang Wu. A new Hilbert-type integral inequality with some parameters and its applications[J].J of Xibei Normal University: Natual Science，2012,48 （6）：26-30.

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      [9] Jichang Kuang, Introduction to real analysis, Hunan Education Press,Changsha,1996.

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  • How to Cite

    Weiliang, W., & Donglan, L. (2015). A Hilbert-type integral inequality with its best extension. Global Journal of Mathematical Analysis, 3(3), 121-125. https://doi.org/10.14419/gjma.v3i3.4885

    Received date: 2015-06-04

    Accepted date: 2015-06-29

    Published date: 2015-07-04