On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals
Copyright policy )On the convergence of some quadrature rules for Cauchy principal-value and finite-part integrals
In this paper sufficient conditions are derived to ensure the convergence of the Elliott and Hunter types of quadrature rules for the evaluation of weighted Cauchy principal-value integrals of the form: Open image in new window The simultaneous convergence in the interval (−1, 1) of both quadratures was established for a class of Holder-continuous functionsf(f∈Hμ). Corrections of some previous statements on the subject of convergence of such quadratures are also included.
convergence, quadrature rules, Jacobi quadratures, Lagrange polynomials, finite-part integrals, Numerical quadrature and cubature formulas, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Approximate quadratures, weighted Cauchy principal-value integrals
convergence, quadrature rules, Jacobi quadratures, Lagrange polynomials, finite-part integrals, Numerical quadrature and cubature formulas, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Approximate quadratures, weighted Cauchy principal-value integrals
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