Interlineation of the functions of the three variables on a system of disjoint lines preserving the differentiability class

TitleInterlineation of the functions of the three variables on a system of disjoint lines preserving the differentiability class
Publication TypeJournal Article
Year of Publication2015
AuthorsSergienko, IV, Lytvyn, OM, Lytvyn, OO, Tkachenko, AV, Gritcai, OL
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.01.031
Issue1
SectionInformation Science and Cybernetics
Pagination31-35
Date Published1/2015
LanguageUkrainian
Abstract
A method of construction of Hermitian-type operators of interlineation of the functions of three variables with help of traces and traces of derivatives on the given lines is proposed. The method can recover these functions at points between the given system of closed disjoint lines in a cylindrical coordinate system, automatically preserving the differentiability class of an approximated function.
Keywordsdifferentiability, Hermitian function, interlineation, operators
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