Direct and inverse approximation theorems for local trigonometric bases

DOI10.1006/jath.2002.3688zbMath1012.41015OpenAlexW2018510129MaRDI QIDQ1867491

Kai Bittner, Karlheinz Gröchening

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/346c9a73f92cbf7ca91ebb0eafdee25ba3363b4b

zbMATH Keywords

Besov spacesapproximation spacesJackson's inequalitytrigonometric approximationlocal trigonometric basesTiman's inequality

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Cites Work

• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Multiscale characterizations of Besov spaces on bounded domains
• Error estimates and reproduction of polynomials for biorthogonal local trigonometric bases
• Gabor frames and time-frequency analysis of distributions
• Characterization of biorthogonal cosine wavelets
• Biorthogonal smooth local trigonometric bases
• Nonlinear approximation with local Fourier bases
• Foundations of time-frequency analysis
• Optimized local trigonometric bases
• Gabor meets Littlewood–Paley: Gabor expansions in L^p(R^d)
• A Simple Wilson Orthonormal Basis with Exponential Decay
• Ten Lectures on Wavelets
• Wavelet methods for pointwise regularity and local oscillations of functions
• Characterization of \(L^p (\mathbb R^n)\) using Gabor frames
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