You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Gökalp Alpan (Sabancı University)
“Lower Bounds for Extremal Polynomials”
Abstract: In this talk, I will discuss weighted Chebyshev polynomials and orthogonal polynomials, with a special emphasis on the real line.
The weighted Chebyshev polynomials are the monic polynomials that minimize the weighted sup-norm on a given set and monic orthogonal polynomials minimize the L2 norm associated with a Borel measure.
I will survey results involving the lower bounds of the norms of the extremal polynomials mentioned above. I will also discuss some recent results on asymptotics for the lower bounds, which generalize some classical results.
Date: Tuesday, November 5, 2024
Time: 14:00 – 15:00
Place: Mathematics Seminar Room SA – 141