A formula for optimal integration in \(H^ 2\)

DOI10.1016/0377-0427(93)90295-MzbMath0780.65012OpenAlexW1966382077MaRDI QIDQ1802167

Jean-Paul Berrut

Publication date: 23 January 1994

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(93)90295-m

zbMATH Keywords

Numerical examplesoptimal integration formula

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximation in the complex plane (30E10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

A closed formula for the Čebyšev barycentric weights of optimal approximation in \(H^ 2\)

Cites Work

• Barycentric formulae for some optimal rational approximants involving Blaschke products
• Baryzentrische Formeln zur trigonometrischen Interpolation. II: Stabilität und Anwendung auf die Fourieranalyse bei ungleichabständigen Stützstellen
• Numerical conformal mapping methods based on function conjugation
• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Approximations via Whittaker's cardinal function
• Einige Eigenschaften Wilfscher Quadraturformeln
• Quadrature formulas obtained by variable transformation
• Exactness conditions in numerical quadrature
• Explicit Nearly Optimal Linear Rational Approximation with Preassigned Poles
• Minimal Interpolation and Approximation in Hilbert Spaces
• Ein numerisches Differentiationsverfahren mit ableitungsfreien Fehlerschranken
• Integration Formulae Based on the Trapezoidal Formula
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