Cover Image

Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sloan, Ian H., Kaarnioja, Vesa
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 41A15, 41A25, 41A30, 41A63
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Escaping the native space of Sobolev kernels by interpolation
by: Ehring, Tobias, et al.
Published: (2025)

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

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

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

On the extension of a class of Hermite multivariate interpolation problems
by: Hakopian, Hakop, et al.
Published: (2025)

The error of Chebyshev approximations on shrinking domains
by: Jawecki, Tobias
Published: (2024)

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

$L^{p}$-convergence of Kantorovich-type Max-Min Neural Network Operators
by: Aslan, İsmail, et al.
Published: (2024)

On the $L^p$-Convergence and Denoising Performance of Durrmeyer-Type Max-Min Neural Network Operators
by: Şahin, Berke, et al.
Published: (2026)

Weighted Approximation By Max-Product Generalized Exponential Sampling Series
by: Pradhan, Satyaranjan, et al.
Published: (2024)

Function values are enough for $L_2$-approximation: Part II
by: Krieg, David, et al.
Published: (2020)

A note concerning polyhyperbolic and related splines
by: Ledford, Jeff, et al.
Published: (2023)

Special measures of smoothness for approximation by sampling operators in $L_p(\Bbb{R}^d)$
by: Kolomoitsev, Yurii
Published: (2025)

Recent progress on univariate and multivariate polynomial and spline quasi-interpolants
by: Sablonniere, Paul
Published: (2004)

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

On the Convergence of Regular Families of Cardinal Interpolators
by: Ledford, Jeff
Published: (2013)

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

Overiteration of $d$-variate tensor product Bernstein operators: a quantitative result
by: Acu, Ana-Maria, et al.
Published: (2024)

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

Kernel interpolation in Sobolev spaces of hybrid regularity
by: Griebel, M., et al.
Published: (2025)

Optimal asymptotic analyses on Laguerre and Hermite orthogonal approximation for functions of algebraic and logarithmic regularitiesYali
by: Zhang, Yali, et al.
Published: (2026)

Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)

Kernel interpolation on generalized sparse grids
by: Griebel, Michael, et al.
Published: (2025)

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

Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
by: Fabiani, Gianluca
Published: (2024)

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

On best approximation by multivariate ridge functions with applications to generalized translation networks
by: Geuchen, Paul, et al.
Published: (2024)

Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
by: Adcock, Ben, et al.
Published: (2023)

Weighted approximation By Max-product Kantrovich type Exponential Sampling Series
by: Pradhan, Satyaranjan, et al.
Published: (2025)

Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023)

On harmonic approximation of Lipschitz functions on compacts in $\mathbb{R}^d$
by: Shirokov, Nikolai A., et al.
Published: (2025)

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

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

Taylor-Accelerated Neural Network Interpolation Operators on Irregular Grids with Higher Order Approximation
by: Saini, Sachin
Published: (2026)

Polynomial approximation on $C^2$-domains
by: Dai, Feng, et al.
Published: (2022)

Function values are enough for $L_2$-approximation
by: Krieg, David, et al.
Published: (2019)

Entropy-based convergence rates of greedy algorithms
by: Li, Yuwen, et al.
Published: (2023)

A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions
by: Hangelbroek, Thomas, et al.
Published: (2025)