On the convergence of an interpolatory product rule for evaluating Cauchy principal value integrals. (English) Zbl 0638.65017
Authors’ summary: The authors give convergence theorems for interpolatory product rules for evaluating Cauchy singular integrals and obtain asymptotic estimates of the remainder. Some results, previously established by other authors, are generalized and improved.
Reviewer: L.Gatteschi
MSC:
65D32 | Numerical quadrature and cubature formulas |
41A55 | Approximate quadratures |
30E20 | Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane |