A dual basis for L-splines and applications

DOI10.1016/0021-9045(80)90113-6zbMath0463.41008OpenAlexW2068380972MaRDI QIDQ1153503

Larry L. Schumaker, Karl Scherer

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90113-6

zbMATH Keywords

error boundslinear differential operatorquasi-interpolantsL-spline interpolationcondition of B-splines basis

Mathematics Subject Classification ID

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

Related Items (6)

Error estimates for interpolation with piecewise exponential splines of order two and four ⋮ On local linear functionals for L-splines ⋮ A generalized modulus of smoothness ⋮ Systematic derivation of spline bases ⋮ On recursions for generalized splines ⋮ A recurrence relation for Chebyshevian B-splines

Cites Work

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• Local spline approximation methods
• On Tschebycheffian spline functions
• Local support bases for a class of spline functions
• Local approximation properties of spline projections
• Spline approximation by quasiinterpolants
• On Lg-splines
• An identity for spline functions with applications to variation diminishing spline approximation
• Error bounds for spline and L-spline interpolation
• On uniform approximation by certain generalized spline functions
• Inverses of Band Matrices and Local Convergence of Spline Projections

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