On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces
- 作者: Aptekarev A.1, Draux A.2, Tulyakov D.1
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隶属关系:
- Keldysh Institute of Applied Mathematics of Russian Academy of Science
- Normandie Université
- 期: 卷 39, 编号 5 (2018)
- 页面: 609-622
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202146
- DOI: https://doi.org/10.1134/S1995080218050025
- ID: 202146
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详细
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.
作者简介
A. Aptekarev
Keldysh Institute of Applied Mathematics of Russian Academy of Science
编辑信件的主要联系方式.
Email: aptekaa@keldysh.ru
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047
A. Draux
Normandie Université
Email: aptekaa@keldysh.ru
法国, 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
俄罗斯联邦, Miusskaya pl. 4, Moscow, 125047