On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces
- Авторы: Aptekarev A.1, Draux A.2, Tulyakov D.1
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Учреждения:
- Keldysh Institute of Applied Mathematics of Russian Academy of Science
- Normandie Université
- Выпуск: Том 39, № 5 (2018)
- Страницы: 609-622
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202146
- DOI: https://doi.org/10.1134/S1995080218050025
- ID: 202146
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Аннотация
The Sobolev spaces with continuous and discrete coherent pairs of weights are considered. The positivity of the inner product is equivalent to the Markov–Bernstein inequality for the weighted integral norm. Asymptotics of the sharp constants for these inequalities, when the degree of polynomials goes to infinity, are obtained.
Об авторах
A. Aptekarev
Keldysh Institute of Applied Mathematics of Russian Academy of Science
Автор, ответственный за переписку.
Email: aptekaa@keldysh.ru
Россия, Miusskaya pl. 4, Moscow, 125047
A. Draux
Normandie Université
Email: aptekaa@keldysh.ru
Франция, Avenue del’Université BP 8, Saint-Étienne-du-Rouvray, Cedex, 76801
D. Tulyakov
Keldysh Institute of Applied Mathematics of Russian Academy of Science
Email: aptekaa@keldysh.ru
Россия, Miusskaya pl. 4, Moscow, 125047