Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (1): 6-15.

• Articles • Previous Articles     Next Articles

The Weighted Norm for Some Mercer Kernel

SHENG Bao-Huai   

  1. Department of Mathematics, Shaoxing College of Arts and Sciences, Zhejiang Shaoxing |312000
  • Received:2011-09-30 Revised:2012-11-08 Online:2013-02-25 Published:2013-02-25
  • Supported by:

    国家自然科学基金(10871226, 61179041)和浙江省自然科学基金(Y6100096)资助

Abstract:

In the present paper, the  upper and lower bounds  of  the  weighted  norm for the Mercer kernel matrix  produced by the generalized translation of an entire function defined on  the infinite interval  are investigated, the weighted norm  is  estimated by the Fourier-Bessel of the entire function.

Key words: Mercer kernel matrices, Rayleigh entropy, Entire function interpolation, Bessel functions, Learning theory

CLC Number: 

  • 41A05
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