Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities

DOI10.1134/S0081543820010083zbMath1442.42006OpenAlexW3031434431MaRDI QIDQ2185574

D. G. Vasilchenkova, Vladimir I. Danchenko

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820010083

zbMATH Keywords

sharp Fejer-type estimates

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric moment problems in one variable harmonic analysis (42A70)

Related Items

Bernstein-Type Estimates for the Derivatives of Trigonometric Polynomials, Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities, Algebraic analogs of Fejer inequalities

Cites Work

• Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators
• On generalized Gaussian quadratures for exponentials and their applications
• The Sylvester-Ramanujan system of equations and the complex power moment problem
• Estimates for exponential sums. Applications
• Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities
• Über gewisse Extremaleigenschaften positiver trigonometrischer Polynome
• Some estimates for non-negative trigonometric polynomials and properties of these polynomials
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