Yattselev, Maxim L.2023-12-012023-12-012022-06Yattselev, M. L. (2022). On LR2-best rational approximants to Markov functions on several intervals. Journal of Approximation Theory, 278, 105738. https://doi.org/10.1016/j.jat.2022.105738https://hdl.handle.net/1805/37258Let 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.en-USAttribution 4.0 InternationalL2-best rational approximationstrong asymptoticsArticle