Perfect splines and Hermite-Birkhoff interpolation

DOI10.1016/0021-9045(79)90047-9zbMath0427.41004OpenAlexW2052892380MaRDI QIDQ1136283

Tim N. T. Goodman

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-9045(79)90047-9

zbMATH Keywords

Birkhoff interpolationperfect splines

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Cites Work

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• Zeros of splines and Birkhoff's kernel
• The perfect B-splines and a time-optimal control problem
• On Lg-splines
• Sign Changes and Minimal Support Properties of Hermite–Birkhoff Splines with Compact Support
• Interpolation Properties of Generalized Perfect Splines and the Solutions of Certain Extremal Problems. I
• Some Poised and Nonpoised Problems of Interpolation
• Another Extermal Property of Perfect Splines
• A remark concerning perfect splines
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• Birkhoff Interpolation
• On Hermite-Birkhoff interpolation

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