scientific article; zbMATH DE number 6411060

zbMath1324.42001MaRDI QIDQ5176794

A. S. Romanyuk

Publication date: 4 March 2015

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

best approximationapproximate characteristicsKolmogorov widthslinear widthsbilinear approximationperiodic functions of several variablestrigonometric widthsBesov class of functionsSobolev class of functionsM-term trigonometric approximationNikol'skiĭ class of functionsorthogonal widths

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric polynomials, inequalities, extremal problems (42A05) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)

Related Items (10)

Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables ⋮ Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness ⋮ Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system ⋮ Best \(m\)-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol'skii-Besov-type classes ⋮ On the problem of linear widths of the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables ⋮ The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\) ⋮ 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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