Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals

DOI10.1155/S1025583400000096zbMath0949.41019OpenAlexW2003767715MaRDI QIDQ1974157

Peter Köhler, Kai Diethelm

Publication date: 27 November 2000

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/120633

zbMATH Keywords

error estimatefinite intervalPeano kernelmodified quadrature formulaesingular integral with Cauchy kernel

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (2)

New error bounds for modified quadrature formulas for Cauchy principal value integrals ⋮ Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach

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