Evidence map›Paper›PMID 36373128›Full record

ArticleRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A, Matematicas2023

Richards's curve induced Banach space valued ordinary and fractional neural network approximation.

George A Anastassiou, Seda Karateke

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A, Matematicas, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

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4 · The record

Corrections and comments

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5 · Who and what money

Authors and funding

2 authors.

George A AnastassiouDepartment of Mathematical Sciences, University of Memphis, Memphis, TN 38152 USA.ORCID 0000-0002-3781-9824
Seda KaratekeDepartment of Computer Engineering, Faculty of Engineering, Istanbul Topkapi University, Zeytinburnu, Istanbul, 34087 Turkey.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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 derivatives. 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.

Indexed as

Banach space valued Caputo fractional derivativeBanach space valued fractional approximationBanach space valued neural network approximationBanach space valued quasi-interpolation operatorModulus of continuityRichards curve function

Identifiers

PMID36373128
PMCPMC9638447

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.