Best bounds for the uniform periodic spline interpolation operator

DOI10.1016/0021-9045(73)90074-9zbMath0252.41008OpenAlexW2083626126MaRDI QIDQ2557383

F. B. Richards

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-9045(73)90074-9

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (20)

A simple approach to cardinal Lagrange and periodic Lagrange splines ⋮ Cardinal interpolation by polynomial splines: Interpolation of data with exponential growth ⋮ Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines ⋮ Upper bounds for uniform Lebesgue constants of interpolation periodic sourcewise representable splines ⋮ Bounds for the norm of certain spline projections ⋮ Interpolation mit periodischen Spline-Funktionen. I ⋮ Interpolation mit periodischen Spline-Funktionen. II ⋮ Extremal spline bases ⋮ Lebesgue constants for periodic Hermite spline interpolation operators on uniform lattices ⋮ On a minimal property of cardinal and periodic Lagrange splines ⋮ The Lebesgue constants for cardinal spline interpolation ⋮ Uniform bounds for cardinal Hermite spline operators with double knots ⋮ Über die Norm des Operators der kardinalen Spline-Interpolation ⋮ Lebesgue constants for some interpolating \(L\)-splines ⋮ Best constants occurring with modulus of continuity in the error estimate for spline interpolants of odd degree on equidistant grids ⋮ Fifty years of Schoenberg's problem on the convergence of spline interpolation ⋮ Quadratic spline interpolation ⋮ Bounds for the norm of certain spline projections. II ⋮ On a minimal property of cubic periodic Lagrangian splines ⋮ Optimal shift parameters for periodic spline interpolation

Cites Work

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• A note on the operators arising in spline approximation
• A note on interpolating periodic quintic splines with equally spaced nodes
• Equioscillation under nonuniqueness in the approximation of continuous functions
• Cardinal interpolation and spline functions
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• On uniform spline approximation

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