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THE CAPABILITY OF LOCALIZED NEURAL NETWORK APPROXIMATION
Honam Mathematical Journal
In this paper, we investigate a localized approximation of a continuously differentiable function by neural networks. To do this, we first approximate a continuously differentiable function by B-spline functions and then approximate B-spline functions by neural networks. Our proofs are constructive and we give numerical results to support our theory.doi:10.5831/hmj.2013.35.4.729 fatcat:j2ael7hlxjfmfp454tt2v2emam