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Best Generalization of Hardy-Hilbert's Inequality With Multi-Parameters  
 
  Authors: Dongmei Xin,  
  Keywords: Hardy-Hilbert's inequality, Hölder's inequality, weight function, $beta$ function.  
  Date Received: 07/02/06  
  Date Accepted: 13/04/06  
  Subject Codes:

26D15.

  
  Editors: Bicheng Yang,  
 
  Abstract:

By introducing some parameters and the $ beta $ function and improving the weight function, we obtain a generalization of Hilbert's integral inequality with the best constant factor. As its applications, we build its equivalent form and some particular results.;


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