Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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DEGREE OF APPROXIMATION BY PERIODIC NEURAL NETWORKS

  • Hahm, Nahmwoo (Department of Mathematics Incheon National University) ;
  • Hong, Bum Il (Department of Applied Mathematics Kyung Hee University)
  • Received : 2014.05.14
  • Accepted : 2014.06.09
  • Published : 2014.06.30
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Abstract

We investigate an approximation order of a continuous $2{\pi}$-periodic function by periodic neural networks. By using the De La Vall$\acute{e}$e Poussin sum and the modulus of continuity, we obtain a degree of approximation by periodic neural networks.

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References

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Cited by

  1. CONSTRUCTIVE APPROXIMATION BY NEURAL NETWORKS WITH POSITIVE INTEGER WEIGHTS vol.23, pp.3, 2015, https://doi.org/10.11568/kjm.2015.23.3.327