Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
Numerical calculation of integrals over the unit circle in the complex plane of the form \[ I[f]= \int^\pi_{-\pi} f(e^{i\theta}) K(\theta) d\theta \] was proposed. The function \(f\) is replaced by a suitable approximant using Szegö quadrature formula and Laurent polynomials. Uniformly distributed nodes are obtained. Properties of the coefficients in the quadrature formulas were discussed. Error bounds for the error functional were determined.
scientific article; zbMATH DE number 1367898
scientific article