Combining interpolation schemes and Lagrange interpolation on the unit sphere in $\mathbb R^{N+1}$
UDC 517.5 We study Lagrange interpolation in $\mathbb R^N$ and on the unit sphere in $\mathbb R^{N+1}$. We show that sequences of unisolvent sets can be combined to get other sequences of unisolvent sets such that the existence of the limits is preserved. Moreover, the limiting operators keep the in...
Збережено в:
| Дата: | 2022 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2022
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6512 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.5
We study Lagrange interpolation in $\mathbb R^N$ and on the unit sphere in $\mathbb R^{N+1}$. We show that sequences of unisolvent sets can be combined to get other sequences of unisolvent sets such that the existence of the limits is preserved. Moreover, the limiting operators keep the interpolation conditions under the combining process. |
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| DOI: | 10.37863/umzh.v74i4.6512 |