Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 708-715.

• Articles • Previous Articles     Next Articles

A Hilbert Type Series Inequality with Transferable Variable Kernel

 HONG Yong, KONG Yin-Ying   

  1. Guangdong University of Finance and Economics, College of Mathematics and Statistics, Guangzhou |510320
  • Received:2012-12-15 Revised:2013-11-30 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11101096)和广州市科技计划项目(2010GN-C021)资助

Abstract:

If λ1, λ2≠0, t>0, K(x, y)= K(tx, y)=K(x, tλ1/λ2y),   K(x, ty)=K(tλ1/λ2x, y). Then K(x, y) is called transferable variable           function with parameters λ1 and λ2. In this paper, let λ1λ2<0, Hilbert type series inequality with transferable variable kernel is studied. The equivalent form and the best constant factor are considered.

Key words: Transferable variable function, Hilbert type series inequality, The best constant facto

CLC Number: 

  • 26D15
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