Optimal quadratures in H(sub)p spaces

DOI10.1145/399.448zbMath0542.65012OpenAlexW1999359572MaRDI QIDQ3330382

Krzysztof Sikorski, Frank Stenger

Publication date: 1984

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/399.448

zbMATH Keywords

algorithmssingularityoptimal quadrature formulasHardy's class

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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On the Computation of the Distribution for the Analysis of Means, The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\), Two Formulas for Numerical Indefinite Integration, Radial numerical integrations based on the sinc function, Generalization and efficient computation of the box-meyer analysis for orthogonal designs, Publications by, and About, Frank Stenger, Optimal integration of Lipschitz functions with a Gaussian weight, A modified sinc quadrature rule for functions with poles near the arc of integration, Delayed curse of dimension for Gaussian integration, Quadrature formulas obtained by variable transformation and the DE-rule, Numerical indefinite integration of functions with singularities

Cites Work

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• Optimal quadrature of \(H^p\) functions
• Optimal quadrature algorithms in \(H_ p\) spaces
• Optimal convergence of minimum norm approximations in \(H_p\)
• Approximations via Whittaker's cardinal function
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Remarks of “Integration Formulae Based on the Trapezoidal Formula”
• Integration Formulae Based on the Trapezoidal Formula