Interlineation of the functions of the three variables on a system of disjoint lines preserving the differentiability class

Authors

  • I. V. Sergienko
  • O. N. Lytvyn
  • O. O. Lytvyn
  • A. V. Tkachenko
  • O. L. Gritcai

DOI:

https://doi.org/10.15407/dopovidi2015.01.031

Keywords:

differentiability, Hermitian function, interlineation, operators

Abstract

A method of construction of Hermitian-type operators of interlineation of the functions of three variables with help of traces and traces of derivatives on the given lines is proposed. The method can recover these functions at points between the given system of closed disjoint lines in a cylindrical coordinate system, automatically preserving the differentiability class of an approximated function.

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References

Sergienko I. V., Zadiraka V. K., Lytvyn O. M. Elements of general theory of optimal algorithms and related matters, Kyiv: Nauk. Dumka, 2012 (in Ukrainian).

Lytvyn O. M. Dop. AN UkrRSR. Ser. A., 1984, 7: 15–19 (in Ukrainian).

Lytvyn O. M. Dop. AN UkrRSR. Ser. A., 1991, 3: 12–17 (in Ukrainian).

Lytvyn O. M. Dop. AN UkrRSR. Ser. A., 1987, 5: 13–17 (in Ukrainian).

Lytvyn O. M. Interlinatsiya functions and some of its applications, Kharkiv: Osnova, 2002 (in Ukrainian). PMid:12123661

Lytvyn, O.M., Lytvyn, O.O., Tkachenko, O.V., Gritsay, O.L. Reports of the National Academy of Sciences of Ukraine, 2014, 2: 50–55 (in Ukrainian). DOI: https://doi.org/10.15407/dopovidi2014.02.050

Lytvyn O. M., Lytvyn O. O., Tkachenko O. V., Hrytsai O. L. Reports of the National Academy of Sciences of Ukraine, 2014, 7: 53–59 (in Ukrainian). DOI: https://doi.org/10.15407/dopovidi2014.07.053

Published

08.01.2025

How to Cite

Sergienko, I. V., Lytvyn, O. N., Lytvyn, O. O., Tkachenko, A. V., & Gritcai, O. L. (2025). Interlineation of the functions of the three variables on a system of disjoint lines preserving the differentiability class . Reports of the National Academy of Sciences of Ukraine, (1), 31–35. https://doi.org/10.15407/dopovidi2015.01.031

Issue

Section

Information Science and Cybernetics