Видеотека: J. Christiansen, Chebyshev polynomials in the complex plane

ВИДЕОТЕКА


Complex Approximations, Orthogonal Polynomials and Applications Workshop 8 июня 2021 г. 17:00, г. Сочи

Chebyshev polynomials in the complex plane J. Christiansen Lund University
Аннотация: A classical problem that goes back to Chebyshev is to approximate $x^n$ by polynomials of lower degree on some compact interval. The monic polynomials $T_n$ of least deviation from zero on some infinite compact set $\mathsf{E}\subset\mathbb{C}$ hence bear the name of Chebyshev. In the talk, I will discuss results about the zeros of $T_n$ and their asymptotic behavior when $\mathsf{E}$ is connected. I will also discuss bounds on the norms $\Vert T_n \Vert_\mathsf{E}$ and present some open problems. Язык доклада: английский Website: https://us02web.zoom.us/j/8618528524?pwd=MmxGeHRWZHZnS0NLQi9jTTFTTzFrQT09 ^* Zoom conference ID: 861 852 8524 , password: caopa