On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type

DOI10.1016/0021-9045(81)90028-9zbMath0509.41011OpenAlexW2041291710MaRDI QIDQ1838099

N. Richter-Dyn

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90028-9

zbMATH Keywords

Gaussian quadrature formulasHermite-Birkhoff interpolationAtkinson-Sharma theorem

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

Existence of Gaussian quadrature formulas for Birkhoff type data ⋮ A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations ⋮ Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations ⋮ Error analysis of the extended filon-type method for highly oscillatory integrals ⋮ Comparison of Birkhoff Type Quadrature Formulae ⋮ Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas

Cites Work

• Best uniform approximation with Hermite-Birkhoff interpolatory side conditions
• Quadrature formulae and Hermite-Birkhoff interpolation
• Continuity of the Birkhoff Interpolation
• On Multiple Node Gaussian Quadrature Formulae
• A Partial Characterization of Poised Hermite–Birkhoff Interpolation Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type