**"Markov-Bernstein
Type Inequalities on Compact Subsets of R"**

By

** 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**

**Time: ****14.30**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.