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Published January 9, 2019 | Submitted
Journal Article Open

Asymptotics of Chebyshev Polynomials, II. DCT Subsets of ℝ

Abstract

We prove Szegő–Widom asymptotics for the Chebyshev polynomials of a compact subset of ℝ which is regular for potential theory and obeys the Parreau–Widom and DCT conditions.

Additional Information

© 2019 Duke University Press. Received 19 March 2018. Revision received 27 August 2018. First published online 9 January 2019. J.S.C.'s research was supported in part by project grant DFF-4181-00502 from the Danish Council for Independent Research, B.S.'s research was supported in part by National Science Foundation grants DMS-1265592 and DMS-1665526 and in part by United States–Israel Binational Science Foundation grant 2014337, P.Y.'s research was supported by the Austrian Science Fund FWF, project P29363-N32, and M.Z.'s research was supported in part by Simons Foundation grant CGM-281971.

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Additional details

Created:
August 19, 2023
Modified:
October 18, 2023