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KIAM Preprint № 59, Moscow, 2017
Authors: Aptekarev A.I., Draux A., Tulyakov D.N.
On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces with coherent weights
Abstract:
The Sobolev spaces with continuous and discrete coherent pairs of weights is 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 degree of polynomials goes to infinity are obtained.
Keywords:
Markov-Bernstein inequalities, Sobolev orthogonal polynomials, continuous and discrete weights, coherent pairs, asymptotics of solutions of difference equations Markov-Bernstein inequalities
Publication language: english,  pages: 20
Research direction:
Mathematical problems and theory of numerical methods
English source text:
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About authors:
  • Aptekarev Alexander Ivanovich,  aptekaa@keldysh.ruorcid.org/0000-0003-2777-3903KIAM RAS
  • Draux Andre,  andre.draux@insa-rouen,  Национальный Институт Прикладных Наук
  • Tulyakov Dmitriy Nikolaevich,  dntulyakov@gmail.comKIAM RAS