Quadrature formulae and Hermite-Birkhoff interpolation

DOI10.1016/0001-8708(73)90004-2zbMath0259.41016OpenAlexW2033510088MaRDI QIDQ2560393

T. J. Rivlin, Charles A. Micchelli

Publication date: 1973

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(73)90004-2

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximate quadratures (41A55)

Related Items

Conditionally poised Birkhoff interpolation problems ⋮ Optimale Quadraturformeln und Perfektsplines ⋮ Polynomial algebra for Birkhoff interpolants ⋮ The fundamental theorem of algebra for monosplines satisfying boundary conditions ⋮ On highly oscillatory problems arising in electronic engineering ⋮ Beste Quadraturformeln für Integrale mit einer Gewichtsfunktion ⋮ Splines with maximal zero sets ⋮ Comparison of Birkhoff Type Quadrature Formulae ⋮ Beste Quadraturformeln für Inzidenzmatrizen ohne ungerade gestützte Sequenzen ⋮ On Hermite-Birkhoff interpolation ⋮ Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas ⋮ On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type ⋮ Best quadrature formulas at equally spaces nodes ⋮ Representation theorems for Tchebycheffian polynomials with boundary conditions and their applications ⋮ A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations ⋮ A uniqueness theorem of a system of nonlinear equations and its applications

Cites Work

• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• On polynomials of best one sided approximation
• A second look at approximate quadrature formulae and spline interpolation
• On Hermite-Birkhoff interpolation
• Best quadrature formulas and splines
• Unnamed Item