On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces with coherent weights
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.
Markov-Bernstein inequalities, Sobolev orthogonal polynomials, continuous and discrete weights, coherent pairs, asymptotics of solutions
of difference equations Markov-Bernstein inequalities
Mathematical problems and theory of numerical methods