On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions

Author:

Buslaev Viktor I.,Suetin Sergey P.ORCID

Funder

Russian Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference35 articles.

1. Asymptotics of Hermite-Padé approximants for a pair of functions with branch points (Russian);Aptekarev;Dokl. Akad. Nauk,2008

2. Alexander I. Aptekarev, Maxim L. Yattselev, Padé approximants for functions with branch points—strong asymptotics of Nuttall–Stahl polynomials, arXiv: http://arxiv.org/abs/1109.0332 (2011), 45 pp.

3. Weighted extremal domains and best rational approximation;Baratchart;Adv. Math.,2012

4. Convergence of multipoint Padé approximants of piecewise analytic functions;Buslaev;Mat. Sb.,2013

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3. On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions;Izvestiya: Mathematics;2021-06-01

4. Application of two-dimensional Padé-type approximants for reducing the Gibbs phenomenon;APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19;2019

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