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Multidimensional Hermite interpolation - MaRDI portal

Multidimensional Hermite interpolation (Q6587405)

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scientific article; zbMATH DE number 7896788
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Multidimensional Hermite interpolation
scientific article; zbMATH DE number 7896788

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    Multidimensional Hermite interpolation (English)
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    14 August 2024
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    The Lagrange and Hermite interpolation formulas belong to the class of algebraic interpolations. Recently, the concept of algebraic interpolations has been obtained a close attention due to interpolation theory for functions in several variables. This paper deals with the multidimensional variant of Hermite interpolations. A class of algebraic systems of equations has been presented for which the Hermite interpolation polynomial is represented by an explicit formula. The theory of multidimensional residues has been used as a main plank.
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    Grothendieck residue
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    interpolation
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    local algebra
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