The \(N\)-width for a generalized periodic Besov classes

DOI10.1016/S0252-9602(17)30206-0zbMath1096.46020OpenAlexW2782587924MaRDI QIDQ815127

Gui Qiao Xu

Publication date: 21 February 2006

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30206-0

zbMATH Keywords

Besov spaces\(n\)-widths

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (6)

Kolmogorov widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\) ⋮ Trigonometric widths of classes of periodic functions of many variables ⋮ Approximation of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables by Fourier sums in the space \(L_p\) with \(p=1,\infty\) ⋮ Exact asymptotic orders of various randomized widths on Besov classes ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ Estimations of linear widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\)

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