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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.
analytic weights; strictly positive analytic weights; chebyshev measures; zeros of para-orthogonal polynomials; zeros of orthogonal polynomials; orthogonal polynomials; unit-circle; quadrature