Product integration based on Hermite-Fejér interpolation

DOI10.1016/0377-0427(89)90322-1zbMath0686.65010OpenAlexW2049154543MaRDI QIDQ1262695

Philip Rabinowitz

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)90322-1

zbMATH Keywords

algorithmsChebyshev polynomialsgeneralized Jacobi polynomialsLagrange interpolationHermite-Fejér interpolationConvergencecomparisonsClenshaw-Curtis pointsproduct integration rules

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

The work of Philip Rabinowitz on numerical integration ⋮ Numerical integration based on approximating splines ⋮ Product integration of singular integrands using Hermite-Fejér interpolation

Cites Work

• On the convergence of closed interpolatory integration rules based on the zeros of Gegenbauer polynomials
• Mean convergence of Hermite-Fejér interpolation
• Some results in the theory of interpolation using the Legendre polynomial and its derivative
• Uniform convergence of modified Hermite-Fejer interpolation process omitting derivatives
• Product-integration with the Clenshaw-Curtis and related points: Convergence properties
• A product quadrature algorithm by Hermite interpolation
• On the theory of interpolation
• Hermite-Fejér type interpolations. II
• Hermite-Fejér type interpolations. III
• Hermite-Fejér type interpolations. IV (Convergence criteria for Jacobi abscissas)
• Interpolatory product integration for Riemann-integrable functions
• ϱ-normal point systems
• On Some Orthogonal Polynomial Integrals
• On the convergence of Hermite-Fejér and Hermite-Fejér type processes
• Properties of Interpolatory Product Integration Rules
• On almost-Hermite-Fejér-interpolation: pointwise estimates
• The convergence of product integration rules
• On Hermite-Fejér type interpolation
• On Hermite-Fejér type interpolation
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