Journal of Shanghai University(Natural Science Edition) ›› 2011, Vol. 17 ›› Issue (5): 603-605.doi: 10.3969/j.issn.1007-2861.2011.05.006

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Hilbert-Type Integral Inequality with Non-homogeneous Kernel

YANG Bi-cheng   

  1. Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China
  • Received:2010-07-09 Online:2011-10-26 Published:2011-10-26

Abstract: Using the method of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel exp (-βxy), β>0, and a best constant factor is given. The equivalent form and the reverses are considered.

Key words: equivalent form, Hilbert-type integral inequality, reverse, weight function

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