Convergence of quadratures for Cauchy principal value integrals

DOI10.1007/BF02252614zbMath0415.65017OpenAlexW365208930MaRDI QIDQ600221

M. M. Chawla, Sheo Kumar

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252614

zbMATH Keywords

convergencequadrature formulasCauchy principal value integrals

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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Cites Work

• Unnamed Item
• Unnamed Item
• Quadrature formulas for Cauchy principal value integrals
• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals
• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals: An addendum
• An algorithm for the numerical evaluation of certain Cauchy principal value integrals
• On a certain class of Lebesgue constants