Szego transformation and zeros of analytic perturbations of Chebyshev weights Articles uri icon

publication date

  • February 2019

start page

  • 571

end page

  • 583

issue

  • 1

volume

  • 470

international standard serial number (ISSN)

  • 0022-247X

electronic international standard serial number (EISSN)

  • 1096-0813

abstract

  • 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.

keywords

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