文献类型：期刊文献

英文题名：The approximation operators with sigmoidal functions

作者：Chen, Zhixiang[2];Cao, Feilong[1]

机构：[1]China Jiliang Univ, Dept Informat & Math Sci, Hangzhou 310018, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

年份：2009

卷号：58

期号：4

起止页码：758

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000268649000014)、、EI(收录号：20092812184334)、Scopus(收录号：2-s2.0-67649743440)、WOS

基金：This research was supported by the National Natural Science Foundation of China (No. 90818020).

语种：英文

外文关键词：Approximation; Sigmoidal function; Neural networks; Quasi-interpolation; Error estimates

外文摘要：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. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.