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Richards’s curve induced Banach space valued multivariate neural network approximation

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Main Authors: George A., Anastassiou, Seda, Karateke
Format: Book
Language:English
Published: Springer 2023
Subjects:
quasi-interpolation
Kantorovich-type
Online Access:https://link.springer.com/article/10.1007/s40065-022-00414-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7439
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spelling oai:localhost:PNK-74392023-04-03T07:37:52Z Richards’s curve induced Banach space valued multivariate neural network approximation George A., Anastassiou Seda, Karateke quasi-interpolation Kantorovich-type CC BY Here, we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or RN, N∈N, by the multivariate normalized, quasi-interpolation, Kantorovich-type and quadrature-type neural network operators. We examine also the case of approximation by iterated operators of the last four types. These approximations are achieved by establishing multidimensional Jackson type inequalities involving the multivariate modulus of continuity of the engaged function or its high-order Fréchet derivatives. Our multivariate operators are defined using a multidimensional density function induced by the Richards’s curve, which is a generalized logistic function. 2023-04-03T07:37:52Z 2023-04-03T07:37:52Z 2022 Book https://link.springer.com/article/10.1007/s40065-022-00414-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7439 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic quasi-interpolation
Kantorovich-type
spellingShingle quasi-interpolation
Kantorovich-type
George A., Anastassiou
Seda, Karateke
Richards’s curve induced Banach space valued multivariate neural network approximation
description CC BY
format Book
author George A., Anastassiou
Seda, Karateke
author_facet George A., Anastassiou
Seda, Karateke
author_sort George A., Anastassiou
title Richards’s curve induced Banach space valued multivariate neural network approximation
title_short Richards’s curve induced Banach space valued multivariate neural network approximation
title_full Richards’s curve induced Banach space valued multivariate neural network approximation
title_fullStr Richards’s curve induced Banach space valued multivariate neural network approximation
title_full_unstemmed Richards’s curve induced Banach space valued multivariate neural network approximation
title_sort richards’s curve induced banach space valued multivariate neural network approximation
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40065-022-00414-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7439
_version_ 1762184303924477952
score 8.89252

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