Best error bounds for quartic spline interpolation

DOI10.1016/0021-9045(89)90008-7zbMath0687.41015OpenAlexW2087479101MaRDI QIDQ1263025

K. Appert

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90008-7

zbMATH Keywords

existenceerror estimatesuniquenessinterpolating quartic spline function

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (4)

The convergence properties of a type II complete deficient quartic spline ⋮ On the minimal derivative oscillation for deficient quartic splines of Marsden's type ⋮ Quartic Spline of Interpolation with Minimal Quadratic Oscillation ⋮ Deficient discrete quartic spline interpolation

Cites Work

• Optimal error bounds for cubic spline interpolation
• A practical guide to splines
• Hermite Interpolation Errors for Derivatives
• The Orders of Approximation of the First Derivative of Cubic Splines at the Knots
• Quadratic spline interpolation
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