On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

Yang, Bicheng

  • Received : 2008.05.13
  • Accepted : 2008.06.26
  • Published : 2009.09.30


In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.


Hilbert's integral inequality;weight function;H-L-P inequality


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