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Certain extremal problem for nonnegative trigonometric polynomials

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Publication:752382
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DOI10.1007/BF01157278zbMath0715.42001OpenAlexW2012368880MaRDI QIDQ752382

V. P. Kondrat'ev, Vitalii Arestov

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157278


zbMATH Keywords

trigonometric polynomialsextremal problem


Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (3)

Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint ⋮ Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function ⋮ Unnamed Item



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Some extremal properties of nonnegative trigonometric polynomials
  • Trigonometric polynomials in prime number theory
  • Approximate formulas for some functions of prime numbers
  • Über Landaus Beweis des Primzahlsatzes
  • Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)


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