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Hermite Interpolation Polynomial for Functions of Several Variables

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Cybernetics and Systems Analysis Aims and scope

Abstract

The Hermite interpolation problem in the Euclidean space is considered, where the value of the function of several variables and its first-order and second-order Gateaux differentials at the interpolation nodes are given. The problem is shown to have a unique solution of minimum norm generated by a scalar product with Gaussian measure in the finite-dimensional Euclidean space. Conditions for invariant solvability and uniqueness of the problem solution are obtained.

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References

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    O. F. Kashpur

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  1. O. F. Kashpur
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Correspondence to O. F. Kashpur.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 3, May–June, 2022, pp. 91–100.

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Kashpur, O.F. Hermite Interpolation Polynomial for Functions of Several Variables. Cybern Syst Anal 58, 399–408 (2022). https://doi.org/10.1007/s10559-022-00472-z

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  • DOI: https://doi.org/10.1007/s10559-022-00472-z

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