An Analogue of Montel's Theorem for Rational Functions of Best Lp- Approximation
For sequences of rational functions, analytic in some domain, a theorem of Montel's type is proved. As an application, sequences of rational functions of best Lp-approximation with unbounded number of finite poles are considered.
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| Published in: | Journal of approximation theory Vol. 115; no. 1; pp. 56 - 71 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
01-03-2002
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| Online Access: | Get full text |
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| Summary: | For sequences of rational functions, analytic in some domain, a theorem of Montel's type is proved. As an application, sequences of rational functions of best Lp-approximation with unbounded number of finite poles are considered. |
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| ISSN: | 0021-9045 1096-0430 |
| DOI: | 10.1006/jath.2001.3634 |