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Best generalization of Hilbert's type of inequality

YANG Bi-cheng   

  1. Department of Mathmatics, Guangdong Education College, Guangzhou 510303, China
  • Received:2003-05-20 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
  • Contact: YANG Bi-cheng

Abstract: By introducing a parameter λ, we have given a gene ralization of Hilbert's type of integral inequality with a best constant factor . As its application, we have built its equivalent form and the generalized form ula corresponding to the double series inequalities.

Key words: Hilbert's type inequality, weight function, Holder's inequality

CLC Number: 

  • O178