Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators

Here we study further the multivariate quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.

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Autor principal:	Anastassiou,George A
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:	Multivariate Neural Network Approximation multivariate Voronovskaya type asymptotic expansion
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200002
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spelling	oai:scielo:S0719-064620140002000022018-10-08Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operatorsAnastassiou,George A Multivariate Neural Network Approximation multivariate Voronovskaya type asymptotic expansion Here we study further the multivariate quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.2 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200002en10.4067/S0719-06462014000200002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Multivariate Neural Network Approximation multivariate Voronovskaya type asymptotic expansion
spellingShingle	Multivariate Neural Network Approximation multivariate Voronovskaya type asymptotic expansion Anastassiou,George A Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
description	Here we study further the multivariate quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.
author	Anastassiou,George A
author_facet	Anastassiou,George A
author_sort	Anastassiou,George A
title	Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
title_short	Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
title_full	Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
title_fullStr	Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
title_full_unstemmed	Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
title_sort	voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200002
work_keys_str_mv	AT anastassiougeorgea voronovskayatypeasymptoticexpansionsformultivariatequasiinterpolationneuralnetworkoperators
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Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators

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