On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials

DOI10.1007/s10958-015-2483-5zbMath1346.42002OpenAlexW1142527924MaRDI QIDQ267588

Alexander S. Belov

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2483-5

zbMATH Keywords

asymptotic estimatetrigonometric polynomialsextremal problem

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Unnamed Item
• On the extremal problem on the minimum of the free term of a nonnegative trigonometric polynomial
• Hardy's inequality and the \(L^ 1\) norm of exponential sums
• On positive definite piecewise linear functions and their applications
• Minima of Cosine Sums and Maxima of Polynomials on the Unit Circle

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