The essential rate of approximation for radial function manifold

DOI10.1007/s11425-011-4262-1zbMath1241.41010OpenAlexW2064604242MaRDI QIDQ763668

Feilong Cao, Shao-Bo Lin, Zong Ben Xu

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4262-1

zbMATH Keywords

Sobolev classridge functionrate of approximationRadial function

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Almost optimal estimates for approximation and learning by radial basis function networks

Cites Work

• Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions
• A bound on the approximation order of surface splines
• On best approximation by ridge functions
• Fundamental sets of continuous functions on spheres
• On lower bounds in radial basis approximation
• On best approximation of classes by radial functions
• On quasi-interpolation by radial basis functions with scattered centres
• Error estimates and condition numbers for radial basis function interpolation
• Approximation by radial basis functions with finitely many centers
• Approximation of Sobolev classes by polynomials and ridge functions
• Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
• Approximation by Ridge Functions and Neural Networks
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