Recovery of the functions of two variables with preservation of the class Cr(R2) with the help of their traces and the traces of their derivatives up to a fixed order on the given curve

TitleRecovery of the functions of two variables with preservation of the class Cr(R2) with the help of their traces and the traces of their derivatives up to a fixed order on the given curve
Publication TypeJournal Article
Year of Publication2014
AuthorsLytvyn, OM, Lytvyn, OO, Tkachenko, OV, Gritsay, OL
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.02.050
Issue2
SectionInformation Science and Cybernetics
Pagination50-55
Date Published2/2014
LanguageUkrainian
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.
Keywordspreservation of the class Cr(R2), recovery of the functions
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