Kolmogorov and trigonometric widths of the Besov classes $ B^r_{p,\theta}$ of multivariate periodic functions
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Publication:5459417
DOI10.1070/SM2006v197n01ABEH003747zbMath1147.46026OpenAlexW2092749538MaRDI QIDQ5459417
Publication date: 28 April 2008
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2006v197n01abeh003747
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (12)
Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space ⋮ The best \(M\)-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space \(L_q\) ⋮ On optimal approximation in periodic Besov spaces ⋮ Estimates for bilinear approximations of the classes \(S_{p,\theta}^\Omega B\) of periodic functions of two variables ⋮ Approximation in periodic Gevrey spaces ⋮ Best bilinear approximations of functions from Nikol'skii-Besov classes ⋮ Trigonometric and linear widths for the classes of periodic multivariate functions ⋮ Nonlinear approximations of classes of periodic functions of many variables ⋮ Widths of the classes \( {B}_{p,\theta}^{\Omega } \) of periodic functions of many variables in the space \(B_{1,1}\) ⋮ Best bilinear approximations of the classes \(S_{p,\theta}^\Omega B\) of periodic functions of many variables ⋮ The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\) ⋮ Kolmogorov widths of the Nikol'skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions
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