On n-widths and interpolation by polynomial splines

DOI10.1016/0021-9045(79)90050-9zbMath0428.41015OpenAlexW2020077845MaRDI QIDQ1137203

Manfred von Golitschek

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)90050-9

zbMATH Keywords

n-widthsinterpolation by polynomial splines

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (8)

Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines ⋮ Limit theorems in spline approximation ⋮ Error bound of spline interpolation in an integral metric ⋮ Studies on extremal problems of spline-approximation ⋮ Studies on extremal problems of spline-approximation ⋮ Approximation of differential functions and their derivatives by parabolic splines ⋮ Approximations by local splines of minimal defect ⋮ A problem concerning the optimization of methods for approximate solution of Fredholm equations

Cites Work

• Some nonlinear spline approximation problems related to N-widths
• Interpolation by splines satisfying mixed boundary conditions
• Optimal error bounds for cubic spline interpolation
• On the Ahlberg-Nilson extension of spline interpolation: The \(g\)-splines and their optimal properties
• On error bounds for spline interpolation
• Total positivity, interpolation by splines, and Green's functions of differential operators
• On n-Widths in L ∞
• On Hermite-Birkhoff interpolation

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