Uniqueness of the Optimal Nodes of Quadrature Formulae

DOI10.2307/2007657zbMath0487.41035OpenAlexW4234494722MaRDI QIDQ3948097

Borislav D. Bojanov

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007657

zbMATH Keywords

minimal erroroptimal quadrature formulamonospline

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (4)

Unnamed Item ⋮ Investigation of the optimization of quadrature formulas by Dnepropetrovsk mathematicians ⋮ Investigation of the optimization of quadrature formulas by Dnepropetrovsk mathematicians ⋮ Further asymptotic properties of best approximation by splines

Cites Work

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• Optimal quadrature formulae for classes of functions with an \(L_p\)- integrable rth derivative
• Zeros of spline functions and applications
• On the positivity of determinants with dominant main diagonal
• Best quadrature formula for the class \(W^rL_2\)
• On monosplines with odd multiplicity of least norm
• On monosplines of least deviation
• On Multiple Node Gaussian Quadrature Formulae
• Die Eindeutigkeit \(L_2\)-optimaler polynomialer Monosplines

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