İstanbul Analiz Seminerleri
Extremal properties of orthogonal polynomials on several intervals
Alexey L. Lukashov
Fatih University & Saratov State University, Türkiye
Real polynomials which determine inverse polynomial images of an interval have
many extremal properties including orthogonality with respect to the related equilibrium
measure. Similar properties are satisfied for rational functions with fixed denominator.
We present several results in that direction, in particular a sharp Markov type inequality
for rational functions with fixed poles (joint with Mehmet Ali Aktürk).
