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arXiv · 2502.11424

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

Jacob S. Christiansen·Barry Simon·Maxim Zinchenko
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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 Szeg\H{o}-type theorem in the setting of Parreau--Widom sets.

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Jacob S. Christiansen, Barry Simon, Maxim Zinchenko. 2025-02-17. Bounds for weighted Chebyshev and residual polynomials on subsets of $\mathbb{R}$. https://arxiv.org/abs/2502.11424

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