Interpolation of functionals by integral continued C-fractions

1Makarov, VL, 2Pahirya, MM
1Institute of Mathematics of the NAS of Ukraine, Kyiv
2Mukachevo State University, Mukachevo
Dopov. Nac. akad. nauk Ukr. 2018, 3:12-21
https://doi.org/10.15407/dopovidi2018.03.012
Section: Mathematics
Language: Ukrainian
Abstract: 

The problem of interpolation of a functional by an integral continued C-fraction if its value is known on the set of continual nodes is studied. The necessary and sufficient conditions for its solvability are found. In the partial case, such an integral continued fraction contains an interpolation continued C-fraction, which is used to approximate the functions of one variable.

Keywords: continual nodes, integral continued C-fraction, interpolation of a functional
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