Leírás
In this talk we consider sum of translates functions on the interval $[0,1]$ and minimax problems. As starting points, we mention results of Bojanov, Fenton, Ambrus-Ball-Erdélyi, Hardin-Kendall-Saff. These were generalized on the torus in earlier joint paper. Establishing similar results in the interval setting brings up several nontrivial and non-technical difficulties. We are going to review these results and as applications we present solution to the weighted Bojanov problem and show some results related to Chebyshev systems and snake polynomials.
This is in progress. Joint work with Bálint Farkas (Wuppertal) and Szilárd Révész (Rényi Inst).