The optimal \(L_ 1\) problem for generalized polynomial monosplines and a related problem

DOI10.1016/0021-9045(89)90151-2zbMath0691.41010OpenAlexW2006017823MaRDI QIDQ582496

Henry L. Loeb, Richard B. Barrar

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90151-2

zbMATH Keywords

generalized Gaussian formulaemonosplinesoptimal \(L_ 1\) problem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Spline approximation (41A15)

Cites Work

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• Generalized Gaussian quadrature formulas
• The fundamental theorem of algebra for monosplines with multiple nodes
• Optimale Quadraturformeln und Perfektsplines
• Oscillating Tchebycheff systems
• The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines
• Best \(L^1\) approximation by weak Chebyshev systems and the uniqueness of interpolating perfect splines
• \(L_1\)-approximation verallgemeinerter konvexer Funktionen durch Splines mit freien Knoten
• Generalized polynomials of minimal norm
• Fundamental Theorem of Algebra for Monosplines and Related Results
• Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines

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