Quantitative self adjoint operator direct approximations

DOI10.22436/jnsa.010.05.45zbMath1412.41008OpenAlexW4230363218MaRDI QIDQ4631171

George A. Anastassiou

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.05.45

zbMATH Keywords

Hilbert spaceBernstein polynomialspositive linear operatorself adjoint operatorneural network operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear operator approximation theory (47A58) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Representation theory of linear operators (47A67) Remainders in approximation formulas (41A80)

Cites Work

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• Intelligent systems. Approximation by artificial neural networks
• Ostrowski's type inequalities for continuous functions of selfadjoint operators on Hilbert spaces: a survey of recent results
• Intelligent systems II. Complete approximation by neural network operators
• \(c_ p\)
• Operator Inequalities of Ostrowski and Trapezoidal Type

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