Best quadrature formulas and splines

DOI10.1016/0021-9045(71)90040-2zbMath0228.41004OpenAlexW1993745359MaRDI QIDQ5921441

Samuel Karlin

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-9045(71)90040-2

Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55)

Related Items

Multivariate splines: a probabilistic perspective ⋮ On a class of best nonlinear approximation problems ⋮ Optimale Quadraturformeln und Perfektsplines ⋮ On a Method of Carasso and Laurent for Constructing Interpolating Splines ⋮ Asymptotically optimal quadrature rules for uniform splines over the real line ⋮ Comparison theorems for monosplines and best one-sided approximation ⋮ Best quadrature formulas and splines ⋮ The fundamental theorem of algebra for monosplines satisfying boundary conditions ⋮ Multiple zeros and applications to optimal linear functionals ⋮ On a nonlinear characterization problem for monosplines ⋮ Beste Quadraturformeln für Integrale mit einer Gewichtsfunktion ⋮ Splines with maximal zero sets ⋮ The sign-regularity properties of Green's functions for a special class of mixed boundary-value problems ⋮ A modern retrospective on probabilistic numerics ⋮ Beste Quadraturformeln für Inzidenzmatrizen ohne ungerade gestützte Sequenzen ⋮ Monotonicity of quadrature formulae of Gauss type and comparison theorems for monosplines ⋮ Quadrature formulae and Hermite-Birkhoff interpolation

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