Favard's interpolation problem in one or more variables

DOI10.1007/s00365-001-0015-7zbMath1015.41001OpenAlexW1977785612MaRDI QIDQ1862753

Thomas Kunkle

Publication date: 25 June 2003

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0015-7

zbMATH Keywords

interpolationmultivariate interpolationdivided differencesFavard's interpolantinterpolation on latticesinterpolation on tensor product grids

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

Extremal interpolation with the least value of the norm of the second derivative in ⋮ Extremal functional -interpolation on an arbitrary mesh on the real axis ⋮ Local extremal interpolation on the semiaxis with the least value of the norm for a linear differential operator ⋮ Extension criteria for homogeneous Sobolev spaces of functions of one variable ⋮ Favard interpolation from subsets of a rectangular lattice

Cites Work

• Lagrange interpolation on a lattice: Bounding derivatives by divided differences
• How small can one make the derivatives of an interpolating function?
• On 'best' interpolation
• Sur l'interpolation
• HIGHER-ORDER ESTIMATES FOR FULLY NONLINEAR DIFFERENCE EQUATIONS. II
• Higher-order estimates for fully nonlinear difference equations. I
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