Voronovskaya Type Asymptotic Expansions for Perturbed Neural Network Operators

DOI10.1142/S1793005715500039zbMath1376.41012MaRDI QIDQ4598026

George A. Anastassiou

Publication date: 19 December 2017

Published in: New Mathematics and Natural Computation (Search for Journal in Brave)

zbMATH Keywords

univariate and multivariate neural network approximationVoronovskaya asymptotic expansion

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Cites Work

• Approximation results for neural network operators activated by sigmoidal functions
• Multivariate neural network operators with sigmoidal activation functions
• The approximation operators with sigmoidal functions
• Rate of convergence of some neural network operators to the unit-univariate case
• Rate of convergence of some multivariate neural network operators to the unit
• Multivariate Fuzzy Perturbed Neural Network Operators Approximation
• A logical calculus of the ideas immanent in nervous activity
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