### Inequalities for Derivatives and their Applications

- Series
- Analysis Seminar
- Time
- Wednesday, October 21, 2009 - 14:00 for 8 hours (full day)
- Location
- Skiles 269
- Speaker
- Yuliya Babenko – Sam Houston State University

In this talk we will discuss Kolmogorov and Landau type inequalities for the derivatives. These are the inequalities which estimate the norm of the intermediate
derivative of a function (defined on an interval, R_+, R, or
their multivariate analogs) from some class in terms of the norm of the
function itself and norm of its highest derivative.
We shall present several new results on sharp inequalities of this type
for special classes of functions (multiply monotone and absolutely
monotone) and sequences. We will also highlight some of the techniques
involved in the proofs (comparison theorems) and discuss several
applications.