| Title | Hermitian interlineation of functions of two variables on the given system of disjoint lines with preservation of the class Cr (R2) |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Lytvyn, OM, Lytvyn, OO, Tkachenko, OV, Gritsay, OL |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2014.07.053 |
| Issue | 7 |
| Section | Information Science and Cybernetics |
| Pagination | 53-59 |
| Date Published | 7/2014 |
| Language | Ukrainian |
| 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 $C^{r}$ ($\mathbb{R}^{2})$ 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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| Keywords | functions, Hermitian interlineation, preservation of the class |
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