Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$

Fuente: arXiv
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Autori principali: Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim
Natura: Preprint
Pubblicazione: 2025
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author Christiansen, Jacob S.
Simon, Barry
Zinchenko, Maxim
author_facet Christiansen, Jacob S.
Simon, Barry
Zinchenko, Maxim
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11424
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$
Christiansen, Jacob S.
Simon, Barry
Zinchenko, Maxim
Classical Analysis and ODEs
41A50, 41A17, 41A44, 30C10
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.
title Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$
topic Classical Analysis and ODEs
41A50, 41A17, 41A44, 30C10
url https://arxiv.org/abs/2502.11424