This article is cited in 6 papers

Nikolskii inequalities for trigonometric polynomes in different metrics

M. K. Potapov^a, B. V. Simonov<sup>b

a</sup> Moscow State University, GSP-1, Leninskiye Gory, Moscow, 119991 Russia
^b Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia

Abstract: S. M. Nikolskii inequalities for trigonometric polynomes in different metrics are well-known. We generalize the inequalities for the sums of trigonometric polynomes.

Keywords: Nikolskii inequality, metric, trigonometric polynomes.

UDC: 517.5

Received: 03.12.2017
Revised: 03.12.2017
Accepted: 22.03.2018

DOI: 10.26907/0021-3446-2019-1-49-62

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:1, 42–54

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