Wavelet approximation and Fourier widths of classes of periodic functions of several variables. II

DOI10.1007/s10476-012-0401-3zbMath1274.42086OpenAlexW604571MaRDI QIDQ1945246

D. B. Bazarkhanov

Publication date: 5 April 2013

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-012-0401-3

zbMATH Keywords

Nikol'skii-Besov spacesLizorkin-Triebel spacesFourier widthWavelet approximation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (8)

Hyperbolic cross approximation with respect to wavelet system with compact supports ⋮ Nonlinear trigonometric approximations of multivariate function classes ⋮ Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces ⋮ Nonlinear approximations of classes of periodic functions of many variables ⋮ Approximation characteristics of the Nikol'sky-Besov-type classes of periodic single- and multivariable functions in the \(B_{1,1}\) space ⋮ Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness ⋮ 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 \(B_{1,1}\)

Cites Work

• Period, index and potential \(\text Ш\)
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
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