Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional deriva- tives. Our operators are defined by using a density function generated by the Richards curve, which is generalized logistic function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer.
Eser Adı (dc.title) | Richards’s curve induced Banach space valued ordinary and fractional neural network approximation |
Yazar (dc.contributor.author) | Seda Karateke |
Yayın Yılı (dc.date.issued) | 2022 |
Tür (dc.type) | Makale |
Özet (dc.description.abstract) | Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. These approximations are derived by establishing Jackson type inequalities involving the modulus of continuity of the engaged function or its Banach space valued high order derivative or fractional deriva- tives. Our operators are defined by using a density function generated by the Richards curve, which is generalized logistic function. The approximations are pointwise and of the uniform norm. The related Banach space valued feed-forward neural networks are with one hidden layer. |
Açık Erişim Tarihi (dc.date.available) | 2022-01-09 |
Yayıncı (dc.publisher) | Springer Link |
Dil (dc.language.iso) | En |
Konu Başlıkları (dc.subject) | Richards curve function · Banach space valued neural network approximation · Banach space valued quasi-interpolation operator · Modulus of continuity · Banach space valued Caputo fractional derivative · Banach space valued fractional approximation |
Tek Biçim Adres (dc.identifier.uri) | https://hdl.handle.net/20.500.14081/1623 |
ISSN (dc.identifier.issn) | 1578-7303 |
Dergi (dc.relation.journal) | Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas |
Dergi Sayısı (dc.identifier.issue) | 1 |
Esere Katkı Sağlayan (dc.contributor.other) | Anastassiou, George A. |
Esere Katkı Sağlayan (dc.contributor.other) | Karateke, Seda |
DOI (dc.identifier.doi) | https://doi.org/10.1007/s13398-022-01343-0 |
Orcid (dc.identifier.orcid) | 0000-0003-1219-0115 |
Dergi Cilt (dc.identifier.volume) | 117 |
wosquality (dc.identifier.wosquality) | Q1 |
wosauthorid (dc.contributor.wosauthorid) | IVX-3466-2023 |
Department (dc.contributor.department) | Bilgisayar Mühendisliği |
Wos No (dc.identifier.wos) | WOS:000879033300001 |
Veritabanları (dc.source.platform) | Wos |
Veritabanları (dc.source.platform) | Scopus |
Veritabanları (dc.source.platform) | PubMed |