authors
- GONZÁLEZ RICARDO, LUIS GIRALDO
- LOPEZ LAGOMASINO, GUILLERMO
- Medina Peralta, S.
On the convergence of multi-level Hermite-Padé approximants
Articles
Overview
published in
- PHYSICA D-NONLINEAR PHENOMENA Journal
publication date
- November 2022
start page
- 1
end page
- 11
issue
- 133487
volume
- 440
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0167-2789
Electronic International Standard Serial Number (EISSN)
- 1872-8022
abstract
- In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Padé approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Padé polynomials.
Classification
subjects
- Mathematics
keywords
- hermite-padé approximation; multiple orthogonal polynomials; nikishin system; ratio asymptotic