J4 ›› 2011, Vol. 46 ›› Issue (2): 123-126.

• Articles • Previous Articles    

On a Hilbert-type integral inequality with a non-homogeneous kernel and its extension

YANG Bi-cheng   

  1. Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, Guangdong, China
  • Received:2010-01-13 Online:2011-02-16 Published:2011-03-30

Abstract:

By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel and the best constant factor is given. The extension, the equivalent form and the reverses are considered.

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

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