A second look at approximate quadrature formulae and spline interpolation

DOI10.1016/0001-8708(70)90027-7zbMath0215.17504OpenAlexW2013663141MaRDI QIDQ2545587

I. J. Schoenberg

Publication date: 1970

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(70)90027-7

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximate quadratures (41A55)

Related Items (19)

On the uniqueness of generalized monosplines of least \(L_ p\)-norm ⋮ The interpolatory background of the Euler-MacLaurin quadrature formula ⋮ Conditionally poised Birkhoff interpolation problems ⋮ Optimale Quadraturformeln und Perfektsplines ⋮ A second look at the interpolatory background of the Euler-Maclaurin quadrature formula ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ The numerical evaluation by splines of Fourier transforms ⋮ Duale Hermite-Birkhoff-Probleme ⋮ On Sard's quadrature formulas of order two ⋮ Beste Quadraturformeln für Integrale mit einer Gewichtsfunktion ⋮ On best cubature formulas and spline interpolation ⋮ On the weights of Sard's quadrature formulas ⋮ Beste Quadraturformeln für Inzidenzmatrizen ohne ungerade gestützte Sequenzen ⋮ Sard's best quadrature formulas of order two ⋮ Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines ⋮ Quadrature formulae and Hermite-Birkhoff interpolation ⋮ On tchebycheffian monosplines and approximation by splines with free knots ⋮ The radius of convergence of a cardinal Lagrange spline series of odd degree ⋮ On the uniqueness of general monosplines of least \(L_ p\)-norm

Cites Work

• On the Ahlberg-Nilson extension of spline interpolation: The \(g\)-splines and their optimal properties
• On Monosplines of Least Deviation and Best Quadrature Formulae
• On Monosplines of Least Square Deviation and Best Quadrature Formulae II
• On Hermite-Birkhoff interpolation
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