On optimal error bounds for derivatives of interpolating splines on a uniform partition

DOI10.1006/jath.1998.3302zbMath0941.41003OpenAlexW2041514791MaRDI QIDQ1293273

Jean Savoie, François Dubeau

Publication date: 3 August 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3302

zbMATH Keywords

zerossplineboundsPeano kerneloptimal error

Mathematics Subject Classification ID

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

Cites Work

• On consistency relations for polynomial splines on a uniform partition
• Extremal problems of functional interpolation and interpolation-in-the- mean splines
• Explicit error bounds for spline interpolation on a uniform partition
• The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation
• Développements Asymptotiques de Fonctions Splines avec Partage Uniforme de la Droite Réelle
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