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Extremal properties of the derivatives of the Newman polynomials

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Publication:4417208
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DOI10.1090/S0002-9939-03-06986-7zbMath1039.41009MaRDI QIDQ4417208

Tamás Erdélyi

Publication date: 28 July 2003

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


zbMATH Keywords

exponential sumsMarkov inequalityMüntz polynomialsNewma's inequalityNewman's polynomialNikolskij-type inequality


Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15)


Related Items (6)

On roots of polynomials with positive coefficients ⋮ Markov-Nikolskii type inequalities for exponential sums on finite intervals ⋮ Markov-Type Inequalities for Products of Müntz Polynomials Revisited ⋮ George Lorentz and inequalities in approximation ⋮ A note on the maximal coefficients of squares of Newman polynomials ⋮ Roots of polynomials of bounded height






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