Kolmogorov widths between the anisotropic space and the space of functions with mixed smoothness

DOI10.1016/j.jat.2003.11.010zbMath1058.41020OpenAlexW2030648717MaRDI QIDQ1433346

Yong Sheng Sun, He Ping Wang

Publication date: 15 June 2004

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

Full work available at URL: https://doi.org/10.1016/j.jat.2003.11.010

zbMATH Keywords

Kolmogorov widthsanisotropic spacesfunctions with mixed smoothness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Fourier series and coefficients in several variables (42B05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items

Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space ⋮ On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness ⋮ Widths between the anisotropic spaces and the spaces of functions with mixed smoothness ⋮ Approximation of anisotropic classes by standard information ⋮ Optimal recovery on the classes of functions with bounded mixed derivative

Cites Work

• Imbedding theorems and convergence of multiple Fourier series
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