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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 3, Pages 31–40
DOI: https://doi.org/10.15393/j3.art.2021.10270 (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
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DOI: https://doi.org/10.15393/j3.art.2021.10270
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.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-90010
The reported study was funded by RFBR according to the research project 20-31-90010.
Received: 25.04.2021
Revised: 03.08.2021
Accepted: 08.08.2021
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 26D05
Language: English
Citation: V. I. Danchenko, D. G. Chkalova, “Bernstein-type estimates for the derivatives of trigonometric polynomials”, Probl. Anal. Issues Anal., 10(28):3 (2021), 31–40
Citation in format AMSBIB
\Bibitem{DanChk21}
\by V.~I.~Danchenko, D.~G.~Chkalova
\paper Bernstein-type estimates for the derivatives of trigonometric polynomials
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 3
\pages 31--40
\mathnet{http://mi.mathnet.ru/pa329}
\crossref{https://doi.org/10.15393/j3.art.2021.10270}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000701890800001}
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