The Lebesgue constants for cardinal spline interpolation

DOI10.1016/0021-9045(75)90080-5zbMath0303.41005OpenAlexW2150663761MaRDI QIDQ1216567

F. B. Richards

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-9045(75)90080-5

Mathematics Subject Classification ID

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

Related Items (21)

On uniform Lebesgue constants of local exponential splines with equidistant knots ⋮ Gibbs-Wilbraham splines ⋮ Cardinal interpolation by polynomial splines: Interpolation of data with exponential growth ⋮ Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines ⋮ Bounds for the norm of certain spline projections ⋮ Exact Lebesgue constants for interpolatory \(\mathbb L\)-splines of third order ⋮ \(L^ p\) estimates of boundary integral equations for some nonlinear boundary value problems ⋮ A note on the Gaussian cardinal-interpolation operator ⋮ The Lebesgue constants for some cardinal spline interpolation operators ⋮ On Lebesgue constants of local parabolic splines ⋮ On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants ⋮ Convergence of interpolating cardinal splines: power growth ⋮ 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 ⋮ Error estimates for spline interpolants on equidistant grids ⋮ Fifty years of Schoenberg's problem on the convergence of spline interpolation ⋮ A higher order Faber spline basis for sampling discretization of functions ⋮ Cardinal spline interpolation from $H^{1}(\mathbb {Z})$ to $L_{1}(\mathbb {R})$ ⋮ Bounds for the norm of certain spline projections. II ⋮ On the Lebesgue constants for cardinal \({\mathcal L}\)-spline interpolation ⋮ Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity

Cites Work

• A note on interpolating periodic quintic splines with equally spaced nodes
• Cardinal interpolation and spline functions
• Best bounds for the uniform periodic spline interpolation operator
• Problems and results on the theory of interpolation. II
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