Moment-preserving spline approximation on finite intervals

DOI10.1007/BF01408572zbMath0644.41005OpenAlexW2053212745WikidataQ115058821 ScholiaQ115058821MaRDI QIDQ1102468

Marco Frontini, Gradimir V. Milovanović, Walter Gautschi

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133168

zbMATH Keywords

constraintsNumerical examplesGauss-LobattoGauss-Radau quadrature rules

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spline approximation (41A15) Numerical quadrature and cubature formulas (65D32)

Related Items

Numerical inversion of moments ⋮ Shape preserving approximations by polynomials and splines ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ My Collaboration with Gradimir V. Milovanović ⋮ On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae ⋮ On orthogonal polynomials for certain nondefinite linear functionals

Cites Work

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• Calculation of Gauss quadratures with multiple free and fixed knots
• Spline approximations to spherically symmetric distributions
• Discrete approximations to spherically symmetric distributions
• On Generating Orthogonal Polynomials