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Publication

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
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