| Cardaliguet-Eurrard型神经网络算子逼近 |
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| 引用本文： | 张永全,曹飞龙,徐宗本.Cardaliguet-Eurrard型神经网络算子逼近[J].数学学报,2008,51(6):1161-117. |
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| 作者姓名： | 张永全 曹飞龙 徐宗本 |
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| 作者单位： | 西安交通大学信息与系统科学研究所;中国计量学院理学院信息与数学科学系;西安交通大学数学系 |
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| 摘 要： | 研究多维Cardaliguet-Eurrard型神经网络算子的逼近问题.分别给出该神经网络算子逼近连续函数与可导函数的速度估计,建立了Jackson型不等式.
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| 关 键 词： | 神经网络 算子 逼近 |
| 收稿时间： | 2007-12-10 |
Approximation for Neural Networks Operators of Cardaliguet-Eurrard Type |
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| Institution: | Department of Information and Mathematical Sciences, China Jiliang University Department of Information and Mathematical Sciences, Faculty of Science, China Jiliang
University Institute for Information and Systems Science, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, P. R. China |
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| Abstract: | This paper deals with the approximation for multidimensional Cardaliguet-Eurrard type operators. The estimates of rates of approximation of these operators approximating the continuous functions and their derivatives are given, respectively. Also, two Jackson-type inequalities are established. |
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| Keywords: | neural networks operator approximation |
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