Generalization of Hardy-Hilbert's Inequality and Applications

  • Saglam, Aziz ;
  • Yildirim, Huseyin ;
  • Sarikaya, Mehmet Zeki
  • Received : 2009.03.25
  • Accepted : 2009.07.09
  • Published : 2010.03.31


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.


Hardy-Hilbert-type integral inequality;H$\"{o}$older's inequality


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