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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2023, Volume 20, Issue 2, Pages 700–710
DOI: https://doi.org/10.33048/semi.2023.20.040 (Mi semr1603) 		 
Real, complex and functional analysis

Multidimensional Hermite interpolation

M. E. Durakov, E. K. Leinartas, A. K. Tsikh

Siberian Federal University, pr. Svobodnyi, 79, 660041, Krasnoyarsk, Russia
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DOI: https://doi.org/10.33048/semi.2023.20.040
Abstract: The Hermite interpolation formulas are based on the interpretation of interpolation nodes as roots of suitable polynomials. Therefore, such formulas belong to the class of algebraic interpolations. The article considers a multidimensional variant of Hermite interpolation, presents a class of algebraic systems of equations for which the Hermite interpolation polynomial is represented by an explicit formula. The theory of multidimensional residues is used as the main tool.
Keywords: grothendieck residue, interpolation, local algebra.
Funding agency Grant number
Russian Science Foundation 20-11-20117
The investigation was supported by the Russian Science Foundation (grant No. 20-11-20117).
Received November 28, 2022, published September 22, 2023
Document Type: Article
UDC: 517.5
MSC: 41A05, 32A27
Language: English
Citation: M. E. Durakov, E. K. Leinartas, A. K. Tsikh, “Multidimensional Hermite interpolation”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 700–710
Citation in format AMSBIB
\Bibitem{DurLeiTsi23}
\by M.~E.~Durakov, E.~K.~Leinartas, A.~K.~Tsikh
\paper Multidimensional Hermite interpolation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2023
\vol 20
\issue 2
\pages 700--710
\mathnet{http://mi.mathnet.ru/semr1603}
\crossref{https://doi.org/10.33048/semi.2023.20.040}
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