Stieltjes-type polynomials on the unit circle
Stieltjes-type polynomials on the unit circle
Stieltjes-type polynomials corresponding to measures supported on the unit circle $\mathbb {T}$ are introduced and their asymptotic properties away from $\mathbb {T}$ are studied for general classes of measures. As an application, we prove the convergence of an associated sequence of interpolating rational functions to the corresponding Carathéodory function. In …