\(L_p\) error estimate for minimal norm SBF interpolation

DOI10.1186/1029-242X-2013-510zbMath1294.41020WikidataQ59302007 ScholiaQ59302007MaRDI QIDQ2250362

Zhigang Gu, Chan-Yun Yang, Jian-Jun Wang

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

error estimatespherical basis functionminimal norm\(L_p\) approximation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Cites Work

• Continuous and discrete least-squares approximation by radial basis functions on spheres
• Approximation in Sobolev spaces by kernel expansions
• A Duchon framework for the sphere
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere

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