Combining Interpolation Schemes and Lagrange Interpolation on the Unit Sphere in ℝN+1

Combining Interpolation Schemes and Lagrange Interpolation on the Unit Sphere in ℝN+1

We study the Lagrange interpolation in ℝ N and on the unit sphere in ℝ N +1 . It is shown 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 preserve the interpolation condit...

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Veröffentlicht in:Ukrainian mathematical journal 2022, Vol.74 (4), p.618-638
Hauptverfasser: Phung, V. M., Nguyen, V. T., Dinh, H. L.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Interpolation
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung:We study the Lagrange interpolation in ℝ N and on the unit sphere in ℝ N +1 . It is shown 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 preserve the interpolation conditions in the process of combining.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02088-0