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A New Hilberttype Integral Inequality

YANG Bicheng   

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2006-02-20 Revised:1900-01-01 Online:2007-01-26 Published:2007-01-26
  • Contact: YANG Bicheng

Abstract: By estimating the weight function and introduc ing the Beta function, a new Hilberttype integral inequality with a parameter and a best constant factor is established. And the two best extensions of it and the corresponding equivalent forms are given.

Key words: Hilberttype inequality, weight function, Beta funct ion, Hlder’s inequality

CLC Number: 

  • O178