The approximation operators with sigmoidal functions

Authors:
Zhixiang Chen;Feilong Cao
Affiliations:
Department of Mathematics, Shaoxing University, Shaoxing, 312000, Zhejiang Province, PR China;Department of Information and Mathematics Sciences, China Jiliang University, Hangzhou, 310018, Zhejiang Province, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 13
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Abstract

The aim of this paper is to investigate the error which results from the method of approximation operators with logarithmic sigmoidal function. By means of the method of extending functions, a class of feed-forward neural network operators is introduced. Using these operators as approximation tools, the upper bounds of errors, in uniform norm, approximating continuous functions, are estimated. Also, a class of quasi-interpolation operators with logarithmic sigmoidal function is constructed for approximating continuous functions defined on the total real axis.