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

1Sergienko, IV
2Lytvyn, OM
2Lytvyn, OO
3Tkachenko, AV
3Gritcai, OL
1V.M. Glushkov Institute of Cybernetics of the NAS of Ukraine, Kyiv
2Ukrainian Engineering Pedagogics Academy, Kharkiv
3Zaporozhye Machine-Building Design Bureau Progress State Enterprise named after Academician A.G.Ivchenko
Dopov. Nac. akad. nauk Ukr. 2015, 1:31-35
https://doi.org/10.15407/dopovidi2015.01.031
Section: Information Science and Cybernetics
Language: Ukrainian
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.
Keywords: differentiability, Hermitian function, interlineation, operators
References: 
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