Interpolation of functional by integral continued C-fractions
Classical Analysis and ODEs
2018-01-23 v1
Abstract
The functional interpolation problem on a continual set of nodes by an integral continued C-fraction is studied. The necessary and sufficient conditions for its solvability are found. As a particular case, the considered integral continued fraction contains a standard interpolation continued C-fraction which is used to approximate the functions of one variable.
Keywords
Cite
@article{arxiv.1801.06852,
title = {Interpolation of functional by integral continued C-fractions},
author = {Volodymyr L. Makarov and Mykhaylo M. Pahirya},
journal= {arXiv preprint arXiv:1801.06852},
year = {2018}
}
Comments
9 pages, 15 sources