Ismagilov type theorems for linear, Gel'fand and Bernstein \(n\)-widths

DOI10.1006/jcom.1995.1025zbMath0848.41018OpenAlexW1977303858MaRDI QIDQ1908045

O. G. Parfenov, Konstantin Yu. Osipenko

Publication date: 31 October 1996

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcom.1995.1025

zbMATH Keywords

widths\(s\)-numbersGel'fand \(n\)-widthslinear \(n\)-widthsBernstein \(n\)-widths

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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Optimal approximation of multivariate periodic Sobolev functions in the sup-norm ⋮ A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm ⋮ THE N-WIDTHS OF HARDY–SOBOLEV AND BERGMAN–SOBOLEV SPACES OF COMPLEX VARIABLES ⋮ On exact values of \(n\)-widths in a Hilbert space ⋮ Breaking the curse for uniform approximation in Hilbert spaces via Monte Carlo methods ⋮ The \(N\)-widths of spaces of holomorphic functions on bounded symmetric domains of tube type ⋮ The N-widths of spaces of holomorphic functions on bounded symmetric domains. II

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