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关于用Bernstein型插值同时逼近的注记 被引量:1

A Note on Simultaneous Approximation by Bernstein Type Interpolation Process
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摘要 本文给出了用 Bernstein 型插值同时逼近函数及其导数的相当简单的证明方法,并建立了一般的逼近定理。 A very simple proof of a theorem on simultaneous approximation function and its derivative by Bernstein type interpolation process is given and a general approximation theorem is established o
作者 孙燮华
出处 《中国计量学院学报》 1992年第2期13-16,共4页 Journal of China Jiliang University
关键词 BERNSTEIN 型插值 同时逼近 approximation Bernstein type interpolation
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参考文献1

  • 1A. K. Varma. On an interpolation process of S. N. Bernstein[J] 1978,Acta Mathematica Academiae Scientiarum Hungaricae(1-2):81~87

同被引文献8

  • 1CYBENKO G.Approximation by superpostions of sigmodial functions[J].Mathematics of Control Signals and Systems,1989,2:303-314.
  • 2FUNAHASHI K.On the approximate realization of continuous functions mappings by neural Networks[J].Neural Networks,1989,2:183-192.
  • 3HORNIK K.Approximation capabilities of mutilayer feedforward networks[J].Neural Networks,1991,4:251-257.
  • 4XU Z B,CAO F L.Simultaneous Lp-approximation order for neural networks[J].Neural Networks,2005,18:914-923.
  • 5CARDALIAGUET P,EUVRARD G.Approximation of a function and its derivative with a neural Network[J].Neural Networks,1992,5:207-220.
  • 6ANATASSIOU G A.Rate of convergence of some neural network operators to the unit-univarate case[J].Journal of Mathematical Analysis and Applications,1997,212:237-262.
  • 7谢庭藩,周颂平.函数的逼近阶与可微性[J].中国计量学院学报,1994,5(2):1-8. 被引量:1
  • 8曹飞龙,徐宗本.神经网络的本质逼近阶[J].中国科学(E辑),2004,34(4):361-373. 被引量:14

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