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On the convergence of multi-level Hermite-Padé approximants.
- Source :
-
Physica D . Nov2022, Vol. 440, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
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. • Properties for multi-level Hermite-Padé approximants. • Ratio asymptotic theorem for multi-level Hermite-Padé approximants. • Weak asymptotic theorem for multi-level Hermite-Padé approximants. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HERMITE polynomials
*PADE approximant
Subjects
Details
- Language :
- English
- ISSN :
- 01672789
- Volume :
- 440
- Database :
- Academic Search Index
- Journal :
- Physica D
- Publication Type :
- Academic Journal
- Accession number :
- 158887053
- Full Text :
- https://doi.org/10.1016/j.physd.2022.133487