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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| 格式: | Article |
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2018
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| 在線閱讀: | https://repository.li.mahidol.ac.th/handle/123456789/42318 |
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| 機構: | Mahidol University |
| 總結: | © 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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