4.3 Article

HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN Rn

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ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
卷 53, 期 3, 页码 725-736

出版社

ROCKY MT MATH CONSORTIUM
DOI: 10.1216/rmj.2023.53.725

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Hermite interpolation; multivariate polynomial interpolation

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This paper constructs a set of explicit differential operators that are evaluated at a singular point on a quadratic hypersurface, providing a divisibility criterion. The result is then utilized to collect interpolation conditions at distinct points, yielding new regular Hermite interpolation schemes in Rn.
We construct a set of explicit differential operators evaluated at a singular point on a quadratic hypersurface which gives a divisibility criterion. This result is then applied to collect interpolation conditions at distinct points to get new regular Hermite interpolation schemes in Rn.

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