NUTTALL’S THEOREM WITH ANALYTIC WEIGHTS ON ALGEBRAIC S-CONTOURS
dc.contributor.author | Yattselev, Maxim L. | |
dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
dc.date.accessioned | 2015-12-30T21:17:10Z | |
dc.date.available | 2015-12-30T21:17:10Z | |
dc.date.issued | 2015-02 | |
dc.description.abstract | Given a function f holomorphic at infinity, the nth diagonal Padé approximant to f, denoted by [n/n]f, is a rational function of type (n,n) that has the highest order of contact with f at infinity. Nuttall’s theorem provides an asymptotic formula for the error of approximation f−[n/n]f in the case where f is the Cauchy integral of a smooth density with respect to the arcsine distribution on [−1,1]. In this note, Nuttall’s theorem is extended to Cauchy integrals of analytic densities on the so-called algebraic S-contours (in the sense of Nuttall and Stahl). | en_US |
dc.eprint.version | Author's manuscript | en_US |
dc.identifier.citation | Yattselev, M. L. (2015). Nuttall’s theorem with analytic weights on algebraic S-contours. Journal of Approximation Theory, 190, 73–90. http://doi.org/10.1016/j.jat.2014.10.015 | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/7871 | |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | 10.1016/j.jat.2014.10.015 | en_US |
dc.relation.journal | Journal of Approximation Theory | en_US |
dc.rights | Publisher Policy | en_US |
dc.source | Author | en_US |
dc.subject | Padé approximation | en_US |
dc.subject | Orthogonal polynomials | en_US |
dc.subject | Non-Hermitian orthogonality | en_US |
dc.title | NUTTALL’S THEOREM WITH ANALYTIC WEIGHTS ON ALGEBRAIC S-CONTOURS | en_US |
dc.type | Article | en_US |