Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants
© 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 a...
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th-mahidol.423182019-03-14T15:03:22Z Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants N. Bosuwan Mahidol University South Carolina Commission on Higher Education Computer Science © 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). 2018-12-21T07:19:12Z 2019-03-14T08:03:22Z 2018-12-21T07:19:12Z 2019-03-14T08:03:22Z 2017-09-01 Article Computational Methods and Function Theory. Vol.17, No.3 (2017), 525-556 10.1007/s40315-017-0190-6 16179447 2-s2.0-85027544621 https://repository.li.mahidol.ac.th/handle/123456789/42318 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85027544621&origin=inward |
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Computer Science N. Bosuwan Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
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© 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). |
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Mahidol University N. Bosuwan |
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Article |
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N. Bosuwan |
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N. Bosuwan |
| title |
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
| title_short |
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
| title_full |
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
| title_fullStr |
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
| title_full_unstemmed |
Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants |
| title_sort |
convergence of row sequences of simultaneous padé-orthogonal approximants |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/42318 |
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