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An inequality for the maximum of trigonometric polynomials

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Publication:3292687
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DOI10.4064/ap-12-2-151-154zbMath0106.27702OpenAlexW779707871MaRDI QIDQ3292687

Paul Erdős

Publication date: 1962

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-12-2-151-154


zbMATH Keywords

approximation and series expansion


Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (12)

Trigonometric polynomials with many real zeros and a Littlewood-type problem ⋮ Quasi-random multilinear polynomials ⋮ Filament plots for data visualization ⋮ Littlewood polynomials with small \(L^4\) norm ⋮ The expected $L_{p}$ norm of random polynomials ⋮ Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes. ⋮ On a problem due to Littlewood concerning polynomials with unimodular coefficients ⋮ Flatness of conjugate reciprocal unimodular polynomials ⋮ On the Sidon constant for Dirichlet polynomials ⋮ An extremal problem for polynomials ⋮ Rudin-Shapiro-like polynomials in $L_{4}$ ⋮ Extremal Mahler measures and $L_s$ norms of polynomials related to Barker sequences




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