Hermitian interlineation of functions of two variables on the given system of disjoint lines with preservation of the class Cr (R2)

Authors

  • O.M. Lytvyn
  • O. O. Lytvyn
  • O.V. Tkachenko
  • O. L. Gritsay

DOI:

https://doi.org/10.15407/dopovidi2014.07.053

Keywords:

functions, Hermitian interlineation, preservation of the class

Abstract

Methods for constructing the operators of a Hermitian interlineation of the recovery of differentiable functions of two variables on the system of smooth disjoint curves that preserve the class of differentiability Cr (R2) are studied. To construct these operators, the traces of the interpolated function and its partial derivatives with respect to one variable to a given order on the mentioned system of curves are used.

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References

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Published

28.02.2025

How to Cite

Lytvyn, O., Lytvyn, O. O., Tkachenko, O., & Gritsay, O. L. (2025). Hermitian interlineation of functions of two variables on the given system of disjoint lines with preservation of the class Cr (R2) . Reports of the National Academy of Sciences of Ukraine, (7), 53–59. https://doi.org/10.15407/dopovidi2014.07.053

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Section

Information Science and Cybernetics