June 2023 HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN n
Le Ngoc Cuong, Nguyen Quang Dieu, Phung Van Manh
Rocky Mountain J. Math. 53(3): 725-736 (June 2023). DOI: 10.1216/rmj.2023.53.725

Abstract

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 n.

Citation

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Le Ngoc Cuong. Nguyen Quang Dieu. Phung Van Manh. "HERMITE INTERPOLATION ASSOCIATED WITH CERTAIN QUADRATIC POLYNOMIALS IN n." Rocky Mountain J. Math. 53 (3) 725 - 736, June 2023. https://doi.org/10.1216/rmj.2023.53.725

Information

Received: 9 May 2022; Accepted: 10 July 2022; Published: June 2023
First available in Project Euclid: 21 July 2023

MathSciNet: MR4617908
zbMATH: 07731142
Digital Object Identifier: 10.1216/rmj.2023.53.725

Subjects:
Primary: 41A05 , 41A63

Keywords: Hermite interpolation , multivariate polynomial interpolation

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.53 • No. 3 • June 2023
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