J4 ›› 2010, Vol. 07 ›› Issue (4): 595-599.

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HilbertType Integral Inequality with Two Parameters

FU Xianghong1, HE Bing2   

  1. 1. Department of Foundation, Guangdong Vocational College of Mechanical and Electrical Technology,Guangzhou 510515, China; 2. Department of Mathematics,
    Guangdong Education Institute, Guangzhou 510303, China
  • Received:2009-07-14 Online:2010-07-26 Published:2011-06-14
  • Contact: FU Xianghong E-mail:fuxianghong1968@126.com

Abstract:

By means of introducing two independent parameters and a pair of conjugate exponens and estimating the weight functions, we established a Hilberttype integral inequality and the equivalent form with the best constant factor.

Key words: Hilberttype integral inequality; parameter; weight function; Hlder inequality

CLC Number: 

  • O177.2