Cubic spline interpolation of continuous functions

DOI10.1016/0021-9045(74)90109-9zbMath0281.41002OpenAlexW2060226266MaRDI QIDQ1843744

Martin Marsden

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0021-9045(74)90109-9

Mathematics Subject Classification ID

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

Related Items (18)

Product integration of piecewise continuous integrands based on cubic spline interpolation at equally spaced nodes ⋮ An approach to the interpolation of nonuniformly spaced data ⋮ Bounds for the norm of certain spline projections ⋮ Bayesian GARCH modeling of functional sports data ⋮ Convergence analysis of an interpolation process for the derivatives of a complete spline ⋮ Uniform convergence of interpolation by cubic splines ⋮ An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels ⋮ Erratum to: How small can one make the derivatives of an interpolating function? ⋮ On cubic spline functions that vanish at all knots ⋮ Konvergenz von quadratischen Interpolations- und Flächenabgleichssplines ⋮ Fifty years of Schoenberg's problem on the convergence of spline interpolation ⋮ Interpolation by quadratic splines ⋮ Quadratic spline interpolation ⋮ Lagrange interpolation — decline and fall?† ⋮ Quadratic interpolatory splines ⋮ Convergence of cubic spline interpolants of functions possessing discontinuities ⋮ Bounds for the norm of certain spline projections. II ⋮ Product integration of logarithmic singular integrands based on cubic splines

Cites Work

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• A Gibbs phenomenon for spline functions
• On the convergence of odd-degree spline interpolation
• A note on the operators arising in spline approximation
• On uniform approximation by cubic splines
• A note on interpolating periodic quintic splines with equally spaced nodes
• Letter to the editor: Convergence of cubic spline interpolants
• Approximation properties of the spline fit

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