Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (4): 569-576.

• Articles • Previous Articles     Next Articles

On Approximation by Neural and Translation Networks in B_a Spaces

 ZHOU Guan-Zhen   

  • Online:2005-08-25 Published:2005-08-25
  • Supported by:

    国家自然科学基金(10471069)、浙江省教育厅项目(20030431)、浙江省高校青年教师资助项目及宁波市青年基金(2004A620017)资助

Abstract:

The characteristic theorem  as well as the degree of approximating by neural ne tworks and translation networks, with a single hidden layer in B_a spaces  is established. The Favard type estimate is obtained as well. The correspondences of Orlicz spaces are given by one of the applications of B_a spaces.

Key words: Neural networks; Translation networks;B_a spaces, Approximation.

CLC Number: 

  • 41A20
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