On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and 𝑃 point masses

DOI10.1090/proc/12976zbMath1334.42056OpenAlexW2172344188MaRDI QIDQ2790179

Sergey A. Denisov

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12976

zbMATH Keywords

orthogonal polynomialsvariational problemexponential polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (5)

Asymptotics for orthogonal polynomials and separation of their zeros ⋮ Notes on the Szegő minimum problem. II: Singular measures ⋮ On a problem by Steklov ⋮ Constrained extremal problems in $H^2$ and Carleman's formulae ⋮ Bounds on orthogonal polynomials and separation of their zeros

Cites Work

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• Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
• Two Turán type inequalities
• Bernstein's inequality for algebraic polynomials on circular arcs
• Nikolskii-type inequalities for shift invariant function spaces
• Inequalities for exponential sums
• Inequalities for polynomials with a prescribed zero
• \(L_p\) Markov-Bernstein inequalities on arcs of the circle

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