| 1Lytvyn, OM, 1Lytvyn, OO, 2Tkachenko, OV, 2Gritsay, OL 1Ukrainian Engineering Pedagogics Academy, Kharkiv 2Academician A.G. Ivchenko Zaporozhye Machine-Building Design Bureau Progress State Enterprise |
| Dopov. Nac. akad. nauk Ukr. 2014, 7:53-59 |
| https://doi.org/10.15407/dopovidi2014.07.053 |
| Section: Information Science and Cybernetics |
| 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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