Diameters and best approximation of the classes \(B^r_{p,\theta}\) of periodic functions of several variables
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Publication:653872
DOI10.1007/s10476-011-0303-9zbMath1240.42028OpenAlexW152496571MaRDI QIDQ653872
Publication date: 19 December 2011
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-011-0303-9
Related Items (19)
Estimates of approximative characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables with given majorant of mixed continuity moduli in the space \(L_\infty\) ⋮ Best approximation of periodic functions of several variables from the classes \( MB_{p,\theta}^\omega\) ⋮ Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric ⋮ Linear and Kolmogorov widths of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of one and several variables ⋮ Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Trigonometric and linear widths for the classes of periodic multivariate functions ⋮ Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces ⋮ Approximation characteristics of the Nikol'sky-Besov-type classes of periodic single- and multivariable functions in the \(B_{1,1}\) space ⋮ Widths of the classes \( {B}_{p,\theta}^{\Omega } \) of periodic functions of many variables in the space \(B_{1,1}\) ⋮ Approximation of the classes \(H_p^\omega\) of periodic functions of many variables in the space \(L_p\) ⋮ Estimations of linear widths of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables in the space \(L_q\) ⋮ On the problem of linear widths of the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Approximate characteristics of the classes \({B}_{p,\theta}^{\Omega}\) of periodic functions of one variable and many ones ⋮ Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$ ⋮ Approximating characteristics of the classes of periodic multivariate functions in the space \(B_{ \infty , 1} \) ⋮ The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\) ⋮ Estimates of the approximation characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of several variables with given majorant of mixed moduli of continuity ⋮ Approximation of the classes of periodic functions of one and many variables from the Nikol'skii-Besov and Sobolev spaces ⋮ Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)
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