Bernstein-Type Estimates for the Derivatives of Trigonometric Polynomials

DOI10.15393/j3.art.2021.10270zbMath1502.26013OpenAlexW3213709926MaRDI QIDQ5086589

D. G. Chkalova, Vladimir I. Danchenko

Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa329

zbMATH Keywords

Bernstein inequalityamplitude and phase transformations

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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• Approximation by amplitude and frequency operators
• Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
• Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators
• Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros
• On generalized Gaussian quadratures for exponentials and their applications
• Algebraic analogs of Fejer inequalities
• 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
• Extraction of harmonics from trigonometric polynomials by phase-amplitude operators

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