Approximative characteristics of the isotropic classes of periodic functions of many variables

DOI10.1007/s11253-009-0232-yzbMath1224.42022OpenAlexW2104936532MaRDI QIDQ3076393

A. 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/s11253-009-0232-y

zbMATH Keywords

polynomialperiodic functionbest orthogonal trigonometric approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier series and coefficients in several variables (42B05)

Related Items (5)

Approximation of functions from the isotropic Nikol'skii-Besov classes in the uniform and integral metrics ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type 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 ⋮ Best approximation of the functions from anisotropic Nikol'skii-Besov classes defined in \(\mathbb{R}^d\)

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