Publication:
Direct and inverse results on row sequences of generalized Padé approximants to polynomial expansions

Issued Date

2019-02-01

Resource Type

Article

ISSN

15882632
02365294

DOI

10.1007/s10474-018-0878-8

Other identifier(s)

2-s2.0-85055729179

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Acta Mathematica Hungarica. Vol.157, No.1 (2019), 191-219

Suggested Citation

N. Bosuwan Direct and inverse results on row sequences of generalized Padé approximants to polynomial expansions. Acta Mathematica Hungarica. Vol.157, No.1 (2019), 191-219. doi:10.1007/s10474-018-0878-8 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51231

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Title

Direct and inverse results on row sequences of generalized Padé approximants to polynomial expansions

Author(s)

N. Bosuwan

Other Contributor(s)

South Carolina Commission on Higher Education
 Mahidol University

Abstract

© 2018, Akadémiai Kiadó, Budapest, Hungary. Starting from the orthogonal and Faber polynomial expansions of a function F, we study the asymptotic behaviors of two generalized Padé approximations (orthogonal Padé approximation and Padé–Faber approximation). We obtain both direct and inverse results relating the convergence of the poles of these approximants and the singularities of F. Thereby, we obtain analogues of theorems by A. A. Gonchar and S. P. Suetin.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/51231

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Scopus 2019