Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szeg\H{O}, Schiefermayr, and Totik--Widom Bounds

Barry Simon; Jacob S. Christiansen; Maxim Zinchenko

arxiv: 1712.03482 · v1 · pith:PLDPRQZ2new · submitted 2017-12-10 · 🧮 math.CA

Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegH{O}, Schiefermayr, and Totik--Widom Bounds

Jacob S. Christiansen , Barry Simon , Maxim Zinchenko This is my paper

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keywords setsboundschebyshevpolynomialssaturateschiefermayrszegtotik--widom

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We determine which sets saturate the Szeg}o and Schiefermayr lower bounds on the norms of Chebyshev Polynomials. We also discuss sets that saturate the Totik--Widom upper bound.

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Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegH{O}, Schiefermayr, and Totik--Widom Bounds

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