Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space
From MaRDI portal
Publication:2362412
DOI10.1134/S0081543817020018zbMath1370.41049OpenAlexW2611843993MaRDI QIDQ2362412
Publication date: 7 July 2017
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543817020018
Function spaces arising in harmonic analysis (42B35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Estimates for certain approximation characteristics of Nikol'skii-Besov spaces with generalized mixed smoothness
- Estimates of diameters of Sobolev classes of small smoothness
- On trigonometric n-widths and their generalization
- Spaces of functions of mixed smoothness from the decomposition point of view
- Estimates for the Kolmogorov diameters of classes of functions with conditions on the mixed difference in the uniform metric
- The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
- Kolmogorov widths between the anisotropic space and the space of functions with mixed smoothness
- Nikol'skii's inequality for different metrics and properties of the sequence of norms of the Fourier sums of a function in the Lorentz space
- On \(n\)-dimensional diameters of compacts in a Hilbert space
- Diameter of class \(W^ r L\) in \(L(0,2\pi)\) and spline function approximation
- \(L^2\)-approximation by partial sums of orthogonal developments
- On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm
- NORMS OF RANDOM MATRICES AND WIDTHS OF FINITE-DIMENSIONAL SETS
- DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
- KOLMOGOROV WIDTHS OF CLASSES OF PERIODIC FUNCTIONS OF ONE AND SEVERAL VARIABLES
- KOLMOGOROV WIDTHS IN THE SPACE ${\tilde L}_q$ OF THE CLASSES ${\tilde W}_p^{\overline \alpha}$ AND ${\tilde H}_p^{\overline \alpha}$ OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
- APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS OF FUNCTIONS OF SEVERAL VARIABLES ON THE TORUS
- Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
- DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
- Embeddings of fractional Sobolev spaces and estimates of Fourier transforms
- Kolmogorov and trigonometric widths of the Besov classes $ B^r_{p,\theta}$ of multivariate periodic functions
- Widths of the Besov classes \(B_{p,\theta}^r (\mathbb{T}^d)\)
This page was built for publication: Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space