Multiple node splines with boundary conditions: The fundamental theorem of algebra for monosplines and Gaussian quadrature formulae for splines

DOI10.1016/0022-247X(88)90234-XzbMath0653.41016OpenAlexW2094319831MaRDI QIDQ1107759

Richard B. Barrar, Henry L. Loeb, Zvi Ziegler

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90234-x

zbMATH Keywords

Gaussian quadrature formulaemonosplinesspline spacesmultiple knots

Mathematics Subject Classification ID

Spline approximation (41A15) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• Interpolation by splines satisfying mixed boundary conditions
• The fundamental theorem of algebra for Tchebycheffian monosplines
• Total positivity, interpolation by splines, and Green's functions of differential operators
• Fundamental Theorem of Algebra for Monosplines and Related Results
• Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
• On Multiple Node Gaussian Quadrature Formulae

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