On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables

DOI10.1007/BF01058799zbMath0907.41023MaRDI QIDQ4380881

A. S. Romanyuk

Publication date: 17 March 1998

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

best approximationsBesov classesKolmogorov's width

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (6)

Gelfand numbers of embeddings of mixed Besov spaces ⋮ Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces ⋮ Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Weyl numbers of embeddings of tensor product Besov spaces ⋮ Widths of the classes \( {B}_{p,\theta}^{\Omega } \) of periodic functions of many variables in the space \(B_{1,1}\) ⋮ The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\)

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