On LR2-best rational approximants to Markov functions on several intervals
| dc.contributor.author | Yattselev, Maxim L. | |
| dc.contributor.department | Mathematical Sciences, School of Science | |
| dc.date.accessioned | 2023-12-01T17:33:07Z | |
| dc.date.available | 2023-12-01T17:33:07Z | |
| dc.date.issued | 2022-06 | |
| dc.description.abstract | 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. | |
| dc.eprint.version | Final published version | |
| dc.identifier.citation | Yattselev, 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.2022.105738 | |
| dc.identifier.uri | https://hdl.handle.net/1805/37258 | |
| dc.language.iso | en_US | |
| dc.publisher | Elsevier | |
| dc.relation.isversionof | 10.1016/j.jat.2022.105738 | |
| dc.relation.journal | Journal of Approximation Theory | |
| dc.rights | Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.source | ArXiv | |
| dc.subject | L2-best rational approximation | |
| dc.subject | strong asymptotics | |
| dc.title | On LR2-best rational approximants to Markov functions on several intervals | |
| dc.type | Article |