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

 1Lytvyn, OM, 1Lytvyn, OO, 2Tkachenko, OV, 2Gritsay, OL1Ukrainian Engineering Pedagogics Academy, Kharkiv2Academician 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. Keywords: functions, Hermitian interlineation, preservation of the class