Browsing by Subject "L2-best rational approximation"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    On LR2-best rational approximants to Markov functions on several intervals
    (Elsevier, 2022-06) Yattselev, Maxim L.; Mathematical Sciences, School of Science
    Let f(z)=∫(z−x)−1dμ(x), where μ is a Borel measure supported on several subintervals of (−1,1) with smooth Radon–Nikodym derivative. We study strong asymptotic behavior of the error of approximation (f−rn)(z), where rn(z) is the LR2-best rational approximant to f(z) on the unit circle with n poles inside the unit disk.