Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917697570209792 |
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| author | Kalmykov, Sergei Lukashov, Alexey |
| author_facet | Kalmykov, Sergei Lukashov, Alexey |
| contents | We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have accumulation points on the intervals.
To prove it we use an analog of the inverse polynomial image method for rational functions with fixed poles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_12153 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles Kalmykov, Sergei Lukashov, Alexey Complex Variables We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have accumulation points on the intervals. To prove it we use an analog of the inverse polynomial image method for rational functions with fixed poles. |
| title | Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2202.12153 |