Korean J. Math.  Vol 22, No 2 (2014)  pp.307-315
DOI: https://doi.org/10.11568/kjm.2014.22.2.307

Degree of approximation by periodic neural networks

Nahmwoo Hahm, Bum Il Hong

Abstract


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


Keywords


De la Vallee Poussin sum, Neural network, Degree of approximation

Subject classification

41A25, 41A30

Sponsor(s)

This work was supported by the Incheon National University Research Grant in 2014.

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References


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