arXiv:1307.0213 Abstract | arXiv Analytics

arXiv:1307.0213 [math.CV]Abstract References Reviews Resources

On the convergence of type I Hermite-Padé approximants

Published 2013-06-30Version 1

Pad\'e approximation has two natural extensions to vector rational approximation through the so called type I and type II Hermite-Pad\'e approximants. The convergence properties of type II Hermite-Pad\'e 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-Pad\'e approximants for Nikishin systems of functions.

Comments: 20 pages

Categories: math.CV

Subjects: 30E10, 42C05, 41A20

Keywords: hermite-pade approximants, stieltjes type theorems, vector rational approximation, approximants markov, natural extensions

Related articles:

arXiv:1310.7010 [math.CV] (Published 2013-10-25)

Hermite-Padé approximation for certain systems of meromorphic functions

U. Fidalgo Prieto, G. López Lagomasino, S. Medina Peralta

arXiv:2211.13232 [math.CV] (Published 2022-11-23)

Radius of $γ$-Spirallikeness of order $α$ for some Special functions

Sercan Kazımoğlu, Kamaljeet Gangania

arXiv:1802.05462 [math.CV] (Published 2018-02-15)