Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators

Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into...

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Autor principal: Anastassiou,George A
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300003
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spelling oai:scielo:S0719-064620140003000032018-10-08Higher Order Multivariate Fuzzy Approximation by basic Neural Network OperatorsAnastassiou,George A multivariate fuzzy real analysis multivariate fuzzy neural network operators high order multivariate fuzzy approximation multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into the fuzzy setting. Here the high order multi-variate fuzzy pointwise convergence with rates to the multivariate fuzzy unit operator is established through multivariate fuzzy inequalities involving the multivariate fuzzy moduli of continuity of the Nth order (N <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art03-a.jpg">1) H-fuzzy partial derivatives, of the engaged multivariate fuzzy number valued function.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.3 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300003en10.4067/S0719-06462014000300003
institution Scielo Chile
collection Scielo Chile
language English
topic multivariate fuzzy real analysis
multivariate fuzzy neural network operators
high order multivariate fuzzy approximation
multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities
spellingShingle multivariate fuzzy real analysis
multivariate fuzzy neural network operators
high order multivariate fuzzy approximation
multivariate fuzzy modulus of continuity and multivariate Jackson type inequalities
Anastassiou,George A
Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
description Here are studied in terms of multivariate fuzzy high approximation to the multivariate unit basic sequences of multivariate fuzzy neural network operators. These operators are multivariate fuzzy analogs of earlier studied multivariate real ones. The produced results generalize earlier real ones into the fuzzy setting. Here the high order multi-variate fuzzy pointwise convergence with rates to the multivariate fuzzy unit operator is established through multivariate fuzzy inequalities involving the multivariate fuzzy moduli of continuity of the Nth order (N <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art03-a.jpg">1) H-fuzzy partial derivatives, of the engaged multivariate fuzzy number valued function.
author Anastassiou,George A
author_facet Anastassiou,George A
author_sort Anastassiou,George A
title Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
title_short Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
title_full Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
title_fullStr Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
title_full_unstemmed Higher Order Multivariate Fuzzy Approximation by basic Neural Network Operators
title_sort higher order multivariate fuzzy approximation by basic 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=S0719-06462014000300003
work_keys_str_mv AT anastassiougeorgea higherordermultivariatefuzzyapproximationbybasicneuralnetworkoperators
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