Title  Recovery of the functions of two variables with preservation of the class C^{r}(R^{2}) with the help of their traces and the traces of their derivatives up to a fixed order on the given curve 
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/dopovidi2014.02.050 
Issue  2 
Section  Information Science and Cybernetics 
Pagination  5055 
Date Published  2/2014 
Language  Ukrainian 
Abstract  The methods of construction of the operators of recovery of differentiable functions of two variables in a vicinity of the smooth curve, which preserve the class of differentiability $C^{r} (R^{2})$, are studied. The methods use the traces of an approximated function and its partial derivatives with respect to one variable up to a given order on the given curve.

Keywords  preservation of the class Cr(R2), recovery of the functions 
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