Bounds for weighted Chebyshev and residual polynomials on subsets of ℝ

2025/02/17 by Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim
#30C10 #41A17 #41A44 #41A50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.11424

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.

Related

• Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials
• Asymptotics of Chebyshev Polynomials, V. Residual Polynomials
• Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane
• Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds
• Asymptotics of Chebyshev rational functions with respect to subsets of the real line