Nonlinear piecewise polynomial approximation beyond Besov spaces

DOI10.1016/j.acha.2003.08.002zbMath1032.41018OpenAlexW2066738141MaRDI QIDQ1413107

Borislav Karaivanov, Pencho P. Petrushev

Publication date: 16 November 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2003.08.002

zbMATH Keywords

nonlinear approximationmultivariate splinesCourant elementsJackson and Bernstein estimatesnested irregular triangulation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items

OPTIMALLY SPARSE IMAGE REPRESENTATION BY THE EASY PATH WAVELET TRANSFORM, Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects, Algorithms and Error Bounds for Multivariate Piecewise Constant Approximation, Anisotropic Triangulation Methods in Adaptive Image Approximation, PIECEWISE CONSTANT WAVELETS ON TRIANGULATIONS OBTAINED BY 1-3 SPLITTING, Adaptive multiresolution analysis based on anisotropic triangulations, Multilevel preconditioning for partition of unity methods: some analytic concepts, Nonlinear nonnested spline approximation, Two-level-split decomposition of anisotropic Besov spaces, Anisotropic smoothness classes: from finite element approximation to image models, Bivariate \(n\)-term rational approximation

Cites Work

• Jackson's theorem in the space \(L^p(R^k),\;0<p<1\)
• Multivariate \(n\)-term rational and piecewise polynomial approximation
• Compression of Wavelet Decompositions
• APPROXIMATION OF FUNCTIONS OFnVARIABLES BY QUASIPOLYNOMIALS
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