Publication:
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants

Issued Date

2017-09-01

Resource Type

Article

ISSN

16179447

DOI

10.1007/s40315-017-0190-6

Other identifier(s)

2-s2.0-85027544621

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Computational Methods and Function Theory. Vol.17, No.3 (2017), 525-556

Suggested Citation

N. Bosuwan Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants. Computational Methods and Function Theory. Vol.17, No.3 (2017), 525-556. doi:10.1007/s40315-017-0190-6 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/42318

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Title

Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants

Author(s)

N. Bosuwan

Other Contributor(s)

Mahidol University
 South Carolina Commission on Higher Education

Abstract

© 2017, Springer-Verlag Berlin Heidelberg. In this paper, convergence theorems of row sequences of vector valued Padé-orthogonal approximants (simultaneous Padé-orthogonal approximants) corresponding to a measure supported on a general compact subset of the complex plane are proved. These theorems are natural extensions of Montessus de Ballore’s theorem for row sequences of (scalar) Padé-orthogonal approximants in Bosuwan et al. (Jaen J Approx 5:179–208, 2013).

Keyword(s)

Computer Science

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/42318

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Scopus 2016-2017