Trigonometric and orthoprojection widths of classes of periodic functions of many variables

DOI10.1007/s11253-010-0300-3zbMath1224.41086OpenAlexW2000712160MaRDI QIDQ3076463

A. S. Romanyuk, V. S. Romanyuk

Publication date: 22 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11253-010-0300-3

zbMATH Keywords

widthsBesov classNikol'skii classperiodic function of many variables

Mathematics Subject Classification ID

Approximation by arbitrary linear expressions (41A45)

Related Items (11)

Trigonometric widths of classes of periodic functions of many variables ⋮ Approximation of functions from the isotropic Nikol'skii-Besov classes in the uniform and integral metrics ⋮ Approximating characteristics of the classes \(L_{\beta,p}^\psi\) of periodic functions in the space \(L_q\) ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric ⋮ Widths of the anisotropic Besov classes of periodic functions of several variables ⋮ Best \(m\)-term trigonometric approximation of periodic functions of several variables from Nikol'skii-Besov classes for small smoothness ⋮ Order estimates of approximation characteristics of functions from the anisotropic Nikol'skii-Besov classes ⋮ Approximation of the classes \(H_p^\omega\) of periodic functions of many variables in the space \(L_p\) ⋮ Trigonometric widths of the Nikol'skii-Besov classes in the Lebesgue space with mixed norm ⋮ Best approximation of the functions from anisotropic Nikol'skii-Besov classes defined in \(\mathbb{R}^d\)

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