Multiple zeros and applications to optimal linear functionals

DOI10.1007/BF01399414zbMath0307.65031MaRDI QIDQ1218249

Henry L. Loeb, Richard B. Barrar

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/132378

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (8)

Gaussian quadrature formulae with fixed nodes ⋮ On the uniqueness of the best uniform extended totally positive monospline ⋮ On a nonlinear characterization problem for monosplines ⋮ Existence and characterization of optimal quadrature formulas for a certain class of differentiable functions ⋮ On monosplines with odd multiplicity of least norm ⋮ On the positivity and magnitudes of Bayesian quadrature weights ⋮ Minimal quadrature formulae for the spaces \(H^ R_ 2\) and \(L^ R_ 2\). A unified interpolatory approach ⋮ On polynomial monosplines with fixed point evaluations

Cites Work

• Unnamed Item
• On a nonlinear characterization problem for monosplines
• On the existence of optimal integration formulas for analytic functions
• On extended varisolvent families
• Chebyshev approximation by \(\gamma\)-polynomials. I
• Chebyshev-approximation by \(\gamma\)-polynomials. II
• Analytic extended monosplines
• Properties of Minimal Integration Rules
• On a class of best nonlinear approximation problems
• Properties of Minimal Integration Rules. II
• Best Approximate Integration Formulas; Best Approximation Formulas
• Best quadrature formulas and splines

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