Geodesic
Bernstein-type estimates for the derivatives of trigonometric polynomials
Problemy analiza, Tome 10 (2021) no. 3, pp. 31-40

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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: Bernstein's inequality.
Mots-clés : amplitude and phase transformations 
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V. I. Danchenko; D. G. Chkalova. Bernstein-type estimates for the derivatives of trigonometric polynomials. Problemy analiza, Tome 10 (2021) no. 3, pp. 31-40. http://geodesic.mathdoc.fr/item/PA_2021_10_3_a2/