Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 597-606.

• Articles • Previous Articles     Next Articles

Multiple Unsymmetrical Core Hardy-Hilbert's Integral Inequalities

  

  1. (Ningbo University's Faculty of Science, Zhejiang Ningbo 315211)
  • Received:2007-12-03 Revised:2008-10-10 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10471069)资助

Abstract:

In this paper, Hardy-Hilbert's integral inequalities are generalized. Hardy-Hilbert's integral inequality with optimal constant factor on
unsymmetrical core function and weighted Hardy-Hilbert's integral inequality are obtained, and some special cases are also considered.

Key words: Hardy-Hilbert’s integral inequality, Unsymmetrical core

CLC Number: 

  • 26D15
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