On approximation by spherical reproducing kernel Hilbert spaces

DOI10.1007/S10496-007-0325-0zbMath1150.41007OpenAlexW2104743114MaRDI QIDQ3513869

Zhixiang Chen

Publication date: 6 August 2008

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-007-0325-0

zbMATH Keywords

error estimatesHilbert spacereproducing kernelradial basis functionspherical harmonic polynomial

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Cites Work

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• Fractional derivatives and best approximations
• Approximation in rough native spaces by shifts of smooth kernels on spheres
• Spherical harmonics
• Strictly Positive Definite Functions on Spheres
• Error estimates for scattered data interpolation on spheres
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• A necessary and sufficient condition for strictly positive definite functions on spheres

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