On the integral convergence of Kergin interpolation on the disk

DOI10.1016/S0377-0427(98)00067-3zbMath0929.41001OpenAlexW2056363613MaRDI QIDQ1298514

Chunmei Lü, Xue-Zhang Liang

Publication date: 22 August 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00067-3

zbMATH Keywords

cubatureerror estimateunit diskKergin interpolation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55)

Related Items (2)

Fast and exact \(2d\) image reconstruction based on Hakopian interpolation ⋮ Weighted mean convergence of Hakopian interpolation on the disk

Cites Work

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• On Kergin interpolation in the disk
• Lagrange representation of multivariate interpolation
• A constructive approach to Kergin interpolation in \(R^ k\): Multivariate B-splines and Lagrange interpolation
• A natural interpolation of \(C^ k \)functions
• On the convergence of Hakopian interpolation and cubature

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