Journal of Shanghai University(Natural Science Edition)

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An Equivalent Form of Extended Hardy Hilbert Integral Inequality

ZHONG Wu yi;YANG Bi cheng   

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2006-01-05 Online:2007-02-28 Published:2007-02-28

Abstract: In this paper, by introducing a weight function ω λ(p,r,t) , an equivalent form o f the extended Hardy Hilbert integral inequality is presented. It is shown that a constant factor is the best possibility.

Key words: best constant factor, equivalent form, Hardy Hilbert integral inequality