Voronovskaya Type Asymptotic Expansions for Perturbed Neural Network Operators

George A. Anastassiou ()
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George A. Anastassiou: Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA

New Mathematics and Natural Computation (NMNC), 2015, vol. 11, issue 01, 35-69

Abstract: Here are studied further perturbed normalized neural network operators of Cardaliaguet–Euvrard type. We derive univariate and multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.

Keywords: Univariate and multivariate neural network approximation; Voronovskaya asymptotic expansion; 41A25; 41A36; 41A60 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S1793005715500039

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