Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Generalization of Hardy-Hilbert's Inequality and Applications

  • Saglam, Aziz (Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University) ;
  • Yildirim, Huseyin (Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University) ;
  • Sarikaya, Mehmet Zeki (Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University)
  • Received : 2009.03.25
  • Accepted : 2009.07.09
  • Published : 2010.03.31
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Abstract

In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.

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References

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