Видеотека: M. Yattselev, On $L_{\mathbb R}^2$-best rational approximants to Markov functions on several intervals

ВИДЕОТЕКА


Complex Approximations, Orthogonal Polynomials and Applications Workshop 7 июня 2021 г. 16:30, г. Сочи

On $L_{\mathbb R}^2$-best rational approximants to Markov functions on several intervals M. Yattselev Indiana University-Purdue University Indianapolis, Department of Mathematical Sciences
Аннотация: Let $f(z)=\int(z-x)^{-1}d\mu(x)$, where $\mu$ is a Borel measure supported on several subintervals of $(-1,1)$ with smooth Radon–Nikodym derivative. In this talk strong asymptotic behavior of the error of approximation $(f-r_n)(z)$ will be described, where $r_n(z)$ is the $L_{\mathbb R}^2$-best rational approximant to $f(z)$ on the unit circle with $n$ poles inside the unit disk. Язык доклада: английский Website: https://us02web.zoom.us/j/8618528524?pwd=MmxGeHRWZHZnS0NLQi9jTTFTTzFrQT09 ^* Zoom conference ID: 861 852 8524 , password: caopa