Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1590-1600.

• Articles • Previous Articles     Next Articles

The |Covering Numbers for |Some Periodic Reproducing Kernel Spaces

  

  1. Department of Mathematics, Shaoxing College of Arts and Sciences, Zhejiang Shaoxing, 312000
  • Received:2007-10-15 Revised:2008-08-11 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10871226)资助

Abstract:

A kind of method of estimating the norm of the inverse of the periodic Mercer kernel matrices is proposed with discrete Fourier transforms,with which a general way of estimating the upper and lower bounds of the covering
number for periodic reproducing kernel  Hilbert spaces is provided. In particular,the lower and upper bounds of the covering number for two special periodic  reproduced kernel spaces are compared.

Key words: Reproducing kernel Hilbert spaces, Covering numbers, Fourier coefficients

CLC Number: 

  • 68Q32
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