"Markov-Bernstein Type Inequalities on Compact Subsets of R"
Abstract: Generalization of classical Markov and Bernstein inequalities in different directions (compact subsets of C^n, Cantor-type sets, higher order derivatives, etc.) is one of the main research areas in approximation theory. In their paper "Markov-Bernstein Type Inequalities on Compact Subsets of R", T. Erdélyi, A. Kroo and J. Szabados suggest another path of generalization: estimation of the derivative at a point in terms of some density functions around this point. We will consider their results and some examples.
Date: Wednesday, April 03, 2013
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.