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A Hilberttype Inequality with Two Pairs of Conjugate Exponents

YANG Bicheng   

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2006-09-17 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
  • Contact: YANG Bicheng

Abstract: By introducing two pairs of conjugate exponents (p,q) and(r,s), an extension of the new base Hilberttype inequality with a best constant factor is proved. As application, the corresponding equivalent form is given.

Key words: Hilberttype inequality, conjugate exponent, H lder’s inequality, equivalent form

CLC Number: 

  • O178