The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation

DOI10.2307/1998892zbMath0496.41003OpenAlexW4246082645MaRDI QIDQ3961262

No author found.

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998892

zbMATH Keywords

Birkhoff interpolationcardinal spline interpolationBudan-Fourier theoremBirkhoff spline

Mathematics Subject Classification ID

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

Related Items (4)

A Remainder Formula and Limits of Cardinal Spline Interpolants ⋮ B-splines with Birkhoff knots ⋮ B-splines with Birkhoff knots ⋮ On optimal error bounds for derivatives of interpolating splines on a uniform partition

Cites Work

• Hermite-Birkhoff interpolation and monotone approximation by splines
• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• The Budan-Fourier theorem for splines
• Hermite-Birkhoff interpolation by splines
• Zeros of splines and Birkhoff's kernel
• Oscillation properties of generalized characteristic polynomials for totally positive and positive definite matrices
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• A Remainder Formula and Limits of Cardinal Spline Interpolants
• Sign Changes and Minimal Support Properties of Hermite–Birkhoff Splines with Compact Support
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• On Hermite-Birkhoff interpolation
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