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A New Hilbert-type Integral Inequality and Its Generalization

YANG Bi-cheng   

  1. Department of Mathematics,Guangdong Institute of Education,Guangzhou 510303,China
  • Received:2005-01-25 Revised:1900-01-01 Online:2005-09-26 Published:2005-09-26
  • Contact: YANG Bi-cheng

Abstract: By means of estimating the weight function and introducing the Beta function,and using the technical of real analysis,a new Hilbert-type integral inequality with a parameter and a best constant factor is established,and two best generalized forms of it and the corresponding equivalent forms are given.

Key words: Hilbert-type inequality, weight function, Beta function, Holder’s inequality

CLC Number: 

  • O178