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This article is cited in 6 scientific papers (total in 6 papers)
Nikolskii inequalities for trigonometric polynomes in different metrics
M. K. Potapova, B. V. Simonovb a 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.
Received: 03.12.2017 Revised: 03.12.2017 Accepted: 22.03.2018
Citation:
M. K. Potapov, B. V. Simonov, “Nikolskii inequalities for trigonometric polynomes in different metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 1, 49–62; Russian Math. (Iz. VUZ), 63:1 (2019), 42–54
Linking options:
https://www.mathnet.ru/eng/ivm9429 https://www.mathnet.ru/eng/ivm/y2019/i1/p49
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Abstract page: | 372 | Full-text PDF : | 120 | References: | 50 | First page: | 27 |
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