Combining interpolation schemes and Lagrange interpolation on the unit sphere in $\mathbb R^{N+1}$

• Datum: 2022
• Hauptverfasser: Phung, V. M., Nguyen, V. T., Dinh, H. L.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6512
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...