Estimates for Sard's best formulas for linear functionals on \(C^ s[a,b]\)

DOI10.1016/0377-0427(89)90338-5zbMath0679.41019OpenAlexW2075008407MaRDI QIDQ1822712

Peter Köhler

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90338-5

zbMATH Keywords

exponential decayPeano kernelsestimates for best formulas for numerical integration

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximate quadratures (41A55)

Cites Work

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• On Sard's quadrature formulas of order two
• Sard's best quadrature formulas of order two
• Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
• On cubic spline functions that vanish at all knots
• On the weights of Sard's quadrature formulas
• Spline approximation by quasiinterpolants
• Error bounds for spline and L-spline interpolation
• A Smoothest Curve Approximation
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• On Semicardinal Quadrature Formulae
• Best Approximate Integration Formulas; Best Approximation Formulas

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