Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets
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Publication:1433372
DOI10.1016/J.JMAA.2003.11.023zbMath1055.42023OpenAlexW2016088848MaRDI QIDQ1433372
Publication date: 15 June 2004
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.023
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)
Related Items (9)
Approximation of anisotropic classes by wavelets ⋮ Anisotropic de-noising in functional deconvolution model with dimension-free convergence rates ⋮ Multivariate intensity estimation via hyperbolic wavelet selection ⋮ Wavelet approximation and Fourier widths of classes of periodic functions of several variables. I ⋮ Widths between the anisotropic spaces and the spaces of functions with mixed smoothness ⋮ Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\Omega } B(\mathbb R^d)\) with a given majorant of mixed moduli of continuity ⋮ Hyperbolic wavelet thresholding methods and the curse of dimensionality through the maxiset approach ⋮ Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \) ⋮ Greedy algorithm for functions with low mixed smoothness
Cites Work
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- Spaces of functions of mixed smoothness from the decomposition point of view
- Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
- Hyperbolic wavelet approximation
- Ten Lectures on Wavelets
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