^{1}Lytvyn, OM, ^{1}Lytvyn, OO, ^{2}Tkachenko, OV, ^{2}Gritsay, OL ^{1}Ukrainian Engineering Pedagogics Academy, Kharkiv ^{2}Academician A.G. Ivchenko Zaporozhye MachineBuilding Design Bureau Progress State Enterprise 
Dopov. Nac. akad. nauk Ukr. 2014, 7:5359 
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.

Keywords: functions, Hermitian interlineation, preservation of the class 
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