Wavelet approximation of distributions with bounded variation derivatives

DOI10.1007/S00041-008-9052-YzbMath1166.42018OpenAlexW2076032315MaRDI QIDQ1021408

Paweł Bechler

Publication date: 8 June 2009

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-008-9052-y

zbMATH Keywords

bounded variationsmoothnessBernstein-type inequalitieswavelet approximationcompactly supported waveletsdistributional derivatives

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Functions of bounded variation, generalizations (26A45)

Cites Work

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• The best \(m\)-term approximation and greedy algorithms
• Wavelets as unconditional bases in \(L_p(\mathbb{R})\)
• Wavelets on the interval and fast wavelet transforms
• Harmonic analysis of the space BV.
• Restricted nonlinear approximation
• \(H^p\) spaces of several variables
• Inequivalence of Wavelet Systems in L₁(R^d) and BV(R^d)
• Greedy wavelet projections are bounded on BV
• Interpolation of Besov Spaces
• Weakly Differentiable Functions
• Ten Lectures on Wavelets
• Nonlinear approximation and the space BV[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]
• Multiscale decompositions on bounded domains

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