On Certain Extension of Hilbert's Integral Inequality with Best Constants

Li, Yongjin;Lin, Yu;He, Bing

  • Received : 2007.05.23
  • Published : 2008.09.30


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.


Hilbert's integral inequality;Weight function


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