On lower bounds in radial basis approximation

DOI10.1007/s10444-004-1090-7zbMath1064.41008OpenAlexW2025185420MaRDI QIDQ1767050

Vitaly Maiorov

Publication date: 4 March 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-1090-7

zbMATH Keywords

Sobolev spaceradial basis functionapproximation order

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (5)

The rate of approximation of Gaussian radial basis neural networks in continuous function space ⋮ Almost optimal estimates for approximation and learning by radial basis function networks ⋮ Some problems in the theory of ridge functions ⋮ The essential rate of approximation for radial function manifold ⋮ On best approximation of classes by radial functions

Cites Work

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• Sur l’erreur d’interpolation des fonctions de plusieurs variables par les $D^m$-splines
• Lower bounds for multivariate approximation by affine-invariant dictionaries

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