RUS  ENG
Full version
JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2021 Volume 10(28), Issue 3, Pages 31–40 (Mi pa329)

Bernstein-type estimates for the derivatives of trigonometric polynomials

V. I. Danchenko, D. G. Chkalova

Vladimir State University, 87, Gorky St., Vladimir 600000, Russia

Abstract: Using the method of amplitude and phase transformations, we obtain sharp inequalities for the derivatives of real-valued trigonometric polynomials. The inequalities are sharp, as there are the corresponding extremal polynomials, for which they become equalities.

Keywords: amplitude and phase transformations, Bernstein's inequality.

UDC: 517.53

MSC: 26D05

Received: 25.04.2021
Revised: 03.08.2021
Accepted: 08.08.2021

Language: English

DOI: 10.15393/j3.art.2021.10270



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025