Multiple Haar basis and \(m\)-term approximations for functions from the Besov classes. I

DOI10.1007/s11253-016-1246-xzbMath1490.46026OpenAlexW2553552034MaRDI QIDQ1729461

V. S. Romanyuk

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1246-x

zbMATH Keywords

Fourier-Haar coefficientsisotropic Besov spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35)

Related Items (3)

Multiple Haar basis and \(m\)-term approximations of functions from the Besov classes. II ⋮ Multivariate Haar systems in Besov function spaces ⋮ A higher order Faber spline basis for sampling discretization of functions

Cites Work

• Best \(m\)-term approximation of the classes \(B_{\infty, \theta}^{r}\) of functions of many variables by polynomials in the Haar system
• 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
• Greedy algorithm and \(m\)-term trigonometric approximation
• Nonlinear approximation by trigonometric sums
• Multiple Haar basis and its properties
• Constructive function theory and spline systems
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