Periodic even degree spline interpolation on a uniform partition

DOI10.1016/0021-9045(85)90066-8zbMath0622.41002OpenAlexW1995960567MaRDI QIDQ1090874

Jean Savoie, François Dubeau

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90066-8

zbMATH Keywords

error boundsequidistant knotsPeriodic even degree spline interpolations

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (4)

Lacunary interpolation by quartic splines on uniform meshes ⋮ Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D ⋮ Interpolation by quadratic spline with periodic derivative on uniform meshes ⋮ On band circulant matrices in the periodic spline interpolation theory

Cites Work

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• Periodic quadratic spline interpolation
• Quadratic spline interpolation and the sharpness of Lebesgue's inequality
• Constrained approximation and Hermite interpolation with smooth quadratic splines: Some negative results
• Asymptotic Error Expansions for Spline Interpolation
• Asymptotic Expansions for Interpolating Periodic Splines
• Periodic Quartic Splines with Equi-spaced Knots
• Some new linear relations for even degree polynomial splines on a uniform mesh
• Explicit Error Bounds for Periodic Splines of Odd Order on a Uniform Mesh
• 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
• Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives

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