A Remainder Formula and Limits of Cardinal Spline Interpolants

DOI10.2307/1998893zbMath0496.41006OpenAlexW4256286521MaRDI QIDQ3961264

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Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998893

zbMATH Keywords

Hermite interpolationcardinal spline interpolationEuler splineEuler-Chebyshev spline

Mathematics Subject Classification ID

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

Related Items (2)

The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation ⋮ The limiting behavior of certain sampling series and cardinal splines

Cites Work

• Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov
• Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
• On cardinal perfect splines of least sup-norm on the real axis
• Necessary Conditions for the Convergence of Cardinal Hermite Splines as their Degree Tends to Infinity
• The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation
• Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity
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