Cover Image

Bounds for the sampling discretization error and their applications to the universal sampling discretization

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kosov, E. D., Temlyakov, V. N.
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis Functional Analysis 65J05 (Primary) 42A05, 65D30, 41A63 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the cardinality of lower sets and universal discretization
by: Dai, F., et al.
Published: (2022)

Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)

A simple universal algorithm for high-dimensional integration
by: Goda, Takashi, et al.
Published: (2024)

Sampling discretization in Orlicz spaces
by: Kosov, Egor, et al.
Published: (2024)

Function recovery on manifolds using scattered data
by: Krieg, David, et al.
Published: (2021)

One-sided discretization inequalities and sampling recovery
by: Limonova, Irina, et al.
Published: (2024)

Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres
by: Geng, Jiaxin, et al.
Published: (2024)

Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification
by: Rieger, Christian, et al.
Published: (2024)

Hyperinterpolation beyond exact cubature: a spectral multiplier approach
by: Wu, Hao-Ning
Published: (2026)

Refinement-based Christoffel sampling for least squares approximation in non-orthogonal bases
by: Herremans, Astrid, et al.
Published: (2025)

Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024)

Quasi-interpolation using generalized Gaussian kernels
by: Gao, Wenwu, et al.
Published: (2024)

Geometric Kernel Interpolation and Regression
by: Guidotti, Patrick
Published: (2026)

Multivariate Interpolation in Unisolvent Nodes -- Lifting the Curse of Dimensionality
by: Hecht, Michael, et al.
Published: (2020)

On the critical length conjecture for spherical Bessel functions in CAGD
by: Kounchev, Ognyan, et al.
Published: (2025)

Multivariate Vector Subdivision Schemes with a General Matrix-valued Filter
by: Lu, Ran
Published: (2025)

Quasi-stationary Subdivision Schemes in Arbitrary Dimensions
by: Lu, Ran, et al.
Published: (2024)

Asymptotically optimal $t$-design curves on $S^3$
by: Lindblad, Ayodeji
Published: (2024)

Generalized $C^1$ quadratic B-splines generated by Merrien subdivision algorithm and some applications
by: Sablonniere, Paul
Published: (2004)

Asymptotically short generalizations of $t$-design curves
by: Lindblad, Ayodeji
Published: (2025)

Applications of QR-based Vector-Valued Rational Approximation
by: Dirckx, Simon
Published: (2026)

Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains
by: van Harten, Wouter, et al.
Published: (2023)

Average case tractability of multivariate approximation with Gevrey type kernels
by: Lu, Wanting, et al.
Published: (2024)

Randomized least-squares with minimal oversampling and interpolation in general spaces
by: Chkifa, Abdellah, et al.
Published: (2023)

Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation
by: Dũng, Dinh
Published: (2025)

Exact convergence rates of lightning plus polynomial approximation for branch singularities with uniform exponentially clustered poles
by: Xiang, Shuhuang, et al.
Published: (2025)

A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
by: Lai, Ming-Jun
Published: (2026)

Comparative study on higher order compact RBF-FD formulas with Gaussian and Multiquadric radial functions
by: Yadav, Manoj Kumar, et al.
Published: (2024)

Error bounds for numerical differentiation using kernels of finite smoothness
by: Davydov, Oleg
Published: (2025)

Probability error bounds for approximation of functions in reproducing kernel Hilbert spaces
by: Aydin, Ata Deniz, et al.
Published: (2020)

Approximation by quadrilateral finite elements
by: Arnold, Douglas N., et al.
Published: (2000)

The Fekete problem in segmental polynomial interpolation
by: Bruno, Ludovico Bruni, et al.
Published: (2024)

A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025)

Multivariate Generalized Hermite Subdivision Schemes
by: Han, Bin
Published: (2021)

Weighted least $\ell_p$ approximation on compact Riemannian manifolds
by: Li, Jiansong, et al.
Published: (2024)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
by: Engwer, Christian, et al.
Published: (2025)

A Rational Approximant for the Digamma Function
by: Weniger, Ernst Joachim
Published: (2003)

Irregular Input Data in Convergence Acceleration and Summation Processes: General Considerations and Some Special Gaussian Hypergeometric Series as Model Problems
by: Weniger, Ernst Joachim
Published: (2000)

Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series
by: Weniger, Ernst Joachim
Published: (2003)

Convergence and Near-optimal Sampling for Multivariate Function Approximations in Irregular Domains via Vandermonde with Arnoldi
by: Zhu, Wenqi, et al.
Published: (2023)