| Title | 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 |
| 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 | 50-55 |
| 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.
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| Keywords | preservation of the class Cr(R2), recovery of the functions |
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