Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Certain Extension of Hilbert's Integral Inequality with Best Constants

  • Li, Yongjin (Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University) ;
  • Lin, Yu (Department of Mathematics, Sun Yat-Sen University) ;
  • He, Bing (Department of Mathematics, Guangdong Education College)
  • Received : 2007.05.23
  • Published : 2008.09.30
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Abstract

In this paper, by introducing a new function with two parameters, we give another generalizations of the Hilbert's integral inequality with a mixed kernel $k(x, y) = \frac {1}{A(x+y)+B{\mid}x-y{\mid}}$ and a best constant factors. As applications, some particular results with the best constant factors are considered.

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References

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