LpError Estimates for Scattered Data Interpolation On Spheres

DOI10.1080/01630563.2011.619675zbMath1252.41013OpenAlexW1991101255MaRDI QIDQ3114590

Feilong Cao, Xiaofei Guo, Shao-Bo Lin

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.619675

zbMATH Keywords

interpolationspherescattered data\(L^p\) error estimate

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Scattered data quasi‐interpolation on spheres ⋮ Multiscale interpolation on the sphere: convergence rate and inverse theorem ⋮ Spherical scattered data quasi-interpolation by Gaussian radial basis function

Cites Work

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• Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions
• Positive definite functions on spheres
• Improved error bounds for scattered data interpolation by radial basis functions
• Strictly positive definite functions on spheres in Euclidean spaces
• Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
• Interpolation by polynomials and radial basis functions on spheres

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