Szegö quadrature formulas for certain Jacobi-type weight functions
Szegö quadrature formulas for certain Jacobi-type weight functions
In this paper we are concerned with the estimation of integrals on the unit circle of the form $\int _0^{2\pi }f(e^{i\theta })\omega (\theta )d\theta$ by means of the so-called Szegö quadrature formulas, i.e., formulas of the type $\sum _{j=1}^n\lambda _jf(x_j)$ with distinct nodes on the unit circle, exactly integrating Laurent …