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On Interpolation by Homogeneous Polynomials in ℝ2

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Abstract

In this paper, we study bivariate homogeneous interpolation polynomials. We show that the homogeneous Lagrange interpolation polynomial of a sufficiently smooth function converges to a homogeneous Hermite interpolation polynomial when the interpolation points coalesce.

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Acknowledgements

We thank an anonymous referee for a very careful reading of the manuscript.

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Authors and Affiliations

  1. Hanoi National University of Education, Hanoi, Vietnam

    P. V. Manh & T. V. Long

Authors
  1. P. V. Manh
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  2. T. V. Long
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Corresponding authors

Correspondence to P. V. Manh or T. V. Long.

Additional information

Russian Text © The Author(s), 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 5, pp. 90–100.

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Manh, P.V., Long, T.V. On Interpolation by Homogeneous Polynomials in ℝ2. J. Contemp. Mathemat. Anal. 54, 268–275 (2019). https://doi.org/10.3103/S1068362319050030

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  • DOI: https://doi.org/10.3103/S1068362319050030

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