Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system

DOI10.1007/s11253-011-0530-zzbMath1242.41027OpenAlexW2043485224MaRDI QIDQ765423

Sergei A. Stasyuk

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-011-0530-z

zbMATH Keywords

Haar systemBesov classesbest \(m\)-term approximationnonlinear methods of approximation

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system ⋮ Multiple Haar basis and \(m\)-term approximations for functions from the Besov classes. I

Cites Work

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• Approximation of functions in several variables from classes \(H^{\Omega}_p\) by polynomials with respect to the Haar system
• The best \(m\)-term approximation and greedy algorithms
• Nonlinear methods of approximation
• Approximation of \(MH_q^r\)-class functions by Haar polynomials
• Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
• Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables

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