Bounds for weighted Chebyshev and residual polynomials on subsets of R
(2026) In Constructive Approximation 64(1). p.87-104- Abstract
We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a Szegő-type theorem in the setting of Parreau–Widom sets.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1243d172-274f-4303-8114-31c31445ae91
- author
- Christiansen, Jacob S. LU ; Simon, Barry and Zinchenko, Maxim
- organization
- publishing date
- 2026-08
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Szegő theorem, Totik–Widom upper bound, Weighted Chebyshev polynomials, Weighted residual polynomials, Widom factors
- in
- Constructive Approximation
- volume
- 64
- issue
- 1
- pages
- 18 pages
- publisher
- Springer
- external identifiers
-
- scopus:105040914400
- ISSN
- 0176-4276
- DOI
- 10.1007/s00365-026-09756-5
- language
- English
- LU publication?
- yes
- id
- 1243d172-274f-4303-8114-31c31445ae91
- date added to LUP
- 2026-09-25 12:48:12
- date last changed
- 2026-09-25 12:48:31
@article{1243d172-274f-4303-8114-31c31445ae91,
abstract = {{<p>We give upper and lower bounds for weighted Chebyshev and residual polynomials on subsets of the real line. As an application, we prove a Szegő-type theorem in the setting of Parreau–Widom sets.</p>}},
author = {{Christiansen, Jacob S. and Simon, Barry and Zinchenko, Maxim}},
issn = {{0176-4276}},
keywords = {{Szegő theorem; Totik–Widom upper bound; Weighted Chebyshev polynomials; Weighted residual polynomials; Widom factors}},
language = {{eng}},
number = {{1}},
pages = {{87--104}},
publisher = {{Springer}},
series = {{Constructive Approximation}},
title = {{Bounds for weighted Chebyshev and residual polynomials on subsets of R}},
url = {{http://dx.doi.org/10.1007/s00365-026-09756-5}},
doi = {{10.1007/s00365-026-09756-5}},
volume = {{64}},
year = {{2026}},
}