Combining interpolation schemes and Lagrange interpolation on the unit sphere in RN+1
DOI:
https://doi.org/10.37863/umzh.v74i4.6512Keywords:
Lagrange interpolation, Limits of Lagrange interpolation, Interpolation on the unit sphereAbstract
UDC 517.5
We study Lagrange interpolation in RN and on the unit sphere in RN+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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