Trigonometric approximations and Kolmogorov widths of anisotropic Besov classes of periodic functions of several variables

DOI10.1007/s11253-015-1006-3zbMath1351.42003OpenAlexW2003277781MaRDI QIDQ317370

Vitalii Myroniuk

Publication date: 30 September 2016

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

Full work available at URL: https://doi.org/10.1007/s11253-015-1006-3

zbMATH Keywords

Besov spacesKolmogorov widthstrigonometric approximations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Harmonic analysis in several variables (42B99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Unnamed Item ⋮ Kolmogorov widths of the anisotropic Besov classes of periodic functions of many variables ⋮ Widths of the anisotropic Besov classes of periodic functions of several variables ⋮ 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 \(\mathbb{R}^d\)

Cites Work

• Approximation of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables by Fourier sums in the space \(L_p\) with \(p=1,\infty\)
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
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