Favard interpolation from subsets of a rectangular lattice

DOI10.1016/j.jat.2011.05.007zbMath1242.41005OpenAlexW2013926376MaRDI QIDQ719503

Thomas Kunkle

Publication date: 10 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.05.007

zbMATH Keywords

interpolationmultivariate interpolationdivided differencesFavard interpolation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Cites Work

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• Lagrange interpolation on a lattice: Bounding derivatives by divided differences
• Favard's interpolation problem in one or more variables
• Sur l'interpolation
• HIGHER-ORDER ESTIMATES FOR FULLY NONLINEAR DIFFERENCE EQUATIONS. II
• Higher-order estimates for fully nonlinear difference equations. I