On nonlinear 𝑛-widths

DOI10.1090/S0002-9939-96-03337-0zbMath0863.41016OpenAlexW1505715586MaRDI QIDQ4714687

Dinh Dung, Vu Quoc Thanh

Publication date: 7 November 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03337-0

zbMATH Keywords

\(n\)-widths

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (12)

Registration-based model reduction of parameterized two-dimensional conservation laws ⋮ Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces ⋮ Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms ⋮ Application of wavelet bases in linear and nonlinear approximation to functions from Besov spaces ⋮ Continuous algorithms in \(n\)-term approximation and nonlinear widths ⋮ Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames ⋮ Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol'skii-Besov classes for small smoothness ⋮ Optimal approximation of elliptic problems by linear and nonlinear mappings. I ⋮ Optimal approximation of elliptic problems by linear and nonlinear mappings. II ⋮ The average widths and non-linear widths of the classes of multivariate functions with bounded moduli of smoothness. ⋮ Nonlinear widths of classes of smooth functions defined on the unit sphere in \(\mathbb R^d\) ⋮ Approximation of Smoothness Classes by Deep Rectifier Networks

Cites Work

• s-numbers in information-based complexity
• Optimal nonlinear approximation
• Wavelet compression and nonlinear \(n\)-widths
• On a theorem of Hanner
• The diameters of non-isotropic classes of functions of finite smoothness
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