On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space
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Publication:6171492
DOI10.18500/1816-9791-2023-23-2-142-156zbMath1530.41021MaRDI QIDQ6171492
Publication date: 11 August 2023
Published in: Izvestiya of Saratov University. Mathematics. Mechanics. Informatics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/isu974
Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Approximation by arbitrary linear expressions (41A45)
Cites Work
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- Nonlinear trigonometric approximations of multivariate function classes
- Nonlinear tensor product approximation of functions
- On the exact estimations of the best \(M\)-terms approximation of the Besov class
- Spaces of functions of mixed smoothness from the decomposition point of view
- Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
- Estimates of the best approximations of the functions of the Nikol'skii-Besov class in the generalized space of Lorentz
- Constructive sparse trigonometric approximation for functions with small mixed smoothness
- Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness
- Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
- Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables