Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators

DOI10.1007/S10958-018-3875-0zbMath1398.42001OpenAlexW2807076693WikidataQ129732284 ScholiaQ129732284MaRDI QIDQ1661610

D. Ya. Danchenko, Vladimir I. Danchenko

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1007/s10958-018-3875-0

zbMATH Keywords

amplitude-phase transformationsProni method

Mathematics Subject Classification ID

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

Related Items (6)

Bernstein-Type Estimates for the Derivatives of Trigonometric Polynomials ⋮ Extraction of several harmonics from trigonometric polynomials. Fejer-type inequalities ⋮ Extraction of Walsh harmonics by linear combinations of dyadic shifts ⋮ Extremal and approximative properties of simple partial fractions ⋮ Algebraic analogs of Fejer inequalities ⋮ Extraction of harmonics from trigonometric polynomials by phase-amplitude operators

Cites Work

• Approximation by amplitude and frequency operators
• The Sylvester-Ramanujan system of equations and the complex power moment problem
• Estimates for exponential sums. Applications
• An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients
• Some estimates for non-negative trigonometric polynomials and properties of these polynomials
• On polynomials orthogonal on several segments with indefinite weight

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