Application of wavelet bases in linear and nonlinear approximation to functions from Besov spaces

DOI10.1134/s0965542506120049OpenAlexW2054624753MaRDI QIDQ6200639

E. V. Burnaev

Publication date: 1 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf362

zbMATH Keywords

linear approximationBesov spaceswavelet basisnonlinear approximation

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60)

Cites Work

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• Stable multiscale bases and local error estimation for elliptic problems
• Wavelets on the interval and fast wavelet transforms
• Wavelets, approximation, and statistical applications
• Wavelet approximation of periodic functions
• Minimax estimation via wavelet shrinkage
• A posteriori error estimates for the wavelet Galerkin method
• Absolute and relative cut-off in adaptive approximation by wavelets
• A Wavelet-Based Adaptive Finite Element Method for Advection-Diffusion Equations
• Interpolation of Besov Spaces
• Image compression through wavelet transform coding
• Compression of Wavelet Decompositions
• On nonlinear 𝑛-widths