Richards’s curve induced Banach space valued multivariate neural network approximation
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40065-022-00414-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7439 |
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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 |
8.887836 |