On Montessus de Ballore's theorem for simultaneous Padé-Faber approximants

Nattapong Bosuwan

doi:10.1515/dema-2018-0006

On Montessus de Ballore's theorem for simultaneous Padé-Faber approximants

Nattapong Bosuwan

Mahidol University
CHE

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We consider row sequences of vector valued Padé-Faber approximants (simultaneous Padé-Faber approximants) and prove a Montessus de Ballore type theorem. Moreover, we provide a comparison between this new Montessus de Ballore type theorem and the Montessus de Ballore type theorem in Bosuwan (Math. Notes, 2018, 103).

Original language	English
Pages (from-to)	45-61
Number of pages	17
Journal	Demonstratio Mathematica
Volume	51
Issue number	1
DOIs	https://doi.org/10.1515/dema-2018-0006
Publication status	Published - Jan 2018
Externally published	Yes

Keywords

Hermite-Padé approximants
Montessus de Ballore's theorem
Padé-Faber approximants
Simultaneous Padé approximants

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10.1515/dema-2018-0006

Cite this

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abstract = "We consider row sequences of vector valued Pad{\'e}-Faber approximants (simultaneous Pad{\'e}-Faber approximants) and prove a Montessus de Ballore type theorem. Moreover, we provide a comparison between this new Montessus de Ballore type theorem and the Montessus de Ballore type theorem in Bosuwan (Math. Notes, 2018, 103).",

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AB - We consider row sequences of vector valued Padé-Faber approximants (simultaneous Padé-Faber approximants) and prove a Montessus de Ballore type theorem. Moreover, we provide a comparison between this new Montessus de Ballore type theorem and the Montessus de Ballore type theorem in Bosuwan (Math. Notes, 2018, 103).

KW - Hermite-Padé approximants

KW - Montessus de Ballore's theorem

KW - Padé-Faber approximants

KW - Simultaneous Padé approximants

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On Montessus de Ballore's theorem for simultaneous Padé-Faber approximants

Abstract

Keywords

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