Szego transformation and zeros of analytic perturbations of Chebyshev weights

摘要

In this contribution we present a method to find the closest zeros to +/- 1 for orthogonal polynomials with respect to analytic perturbations of the Chebyshev weight functions in [-1,1]. The error order we obtain is O(n(-6)). (C) 2018 Elsevier Inc. All rights reserved.