Email this article On Asymptotics of the Sharp Constants of the Markov–Bernshtein Inequalities for the Sobolev Spaces
- Authors: Aptekarev A.I.1, Draux A.2, Tulyakov D.N.1
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Affiliations:
- Keldysh Institute of Applied Mathematics of Russian Academy of Science
- Normandie Université
- Issue: Vol 39, No 5 (2018)
- Pages: 609-622
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202146
- DOI: https://doi.org/10.1134/S1995080218050025
- ID: 202146
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Abstract
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.
About the authors
A. I. Aptekarev
Keldysh Institute of Applied Mathematics of Russian Academy of Science
Author for correspondence.
Email: aptekaa@keldysh.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047
A. Draux
Normandie Université
Email: aptekaa@keldysh.ru
France, Avenue del’Université BP 8, Saint-Étienne-du-Rouvray, Cedex, 76801
D. N. Tulyakov
Keldysh Institute of Applied Mathematics of Russian Academy of Science
Email: aptekaa@keldysh.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047
