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

 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. Keywords functions, Hermitian interlineation, preservation of the class
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