Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II

DOI10.1006/jath.2001.3626zbMath0992.41013OpenAlexW1984138193MaRDI QIDQ5957492

Dany Leviatan, V. N. Konovalov

Publication date: 10 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3626

zbMATH Keywords

Kolmogorov widthslinear widthsSobolev-type classes

Mathematics Subject Classification ID

Summability and bases in topological vector spaces (46A35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items

Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions, Widths and shape-preserving widths of Sobolev-type classes of \(s\)-monotone functions, Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II, Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval.

Cites Work

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• The best approximation of classes \(W^r_1(I^s)\) in the space \(L_\infty(I^s)\)
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• s-Numbers of operators in Banach spaces
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Kolmogorov and linear widths of weighted Sobolev-type classes on a finite interval. II
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