On the Convergence of Product Formulas for the Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals

DOI10.2307/2008655zbMath0664.41025OpenAlexW4239619747MaRDI QIDQ3814177

Giuseppe Mastroianni

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2008655

zbMATH Keywords

convergenceorthogonal polynomialsJacobi weightsquadrature product formulastwo-dimensional Cauchy principal value integrals

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

Approximation of the Hilbert Transform on the real line using Hermite zeros ⋮ The numerical evaluation of Cauchy principal value integrals with non-standard weight functions

Cites Work

• On the evaluation of certain two-dimensional singular integrals with Cauchy kernels
• Convergence of Gauss type product formulas for the evaluation of two- dimensional Cauchy principal value integrals
• Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
• On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
• Orthogonal polynomials

This page was built for publication: On the Convergence of Product Formulas for the Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals