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On the convergence of type I Hermite–Padé approximants.
- Source :
-
Advances in Mathematics . Mar2015, Vol. 273, p124-148. 25p. - Publication Year :
- 2015
-
Abstract
- Padé approximation has two natural extensions to vector rational approximation through the so-called type I and type II Hermite–Padé approximants. The convergence properties of type II Hermite–Padé approximants have been studied. For such approximants Markov and Stieltjes type theorems are available. To the present, such results have not been obtained for type I approximants. In this paper, we provide Markov and Stieltjes type theorems on the convergence of type I Hermite–Padé approximants for Nikishin systems of functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 273
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 101001161
- Full Text :
- https://doi.org/10.1016/j.aim.2014.12.025