paper

Interpolation of functional by integral continued C-fractions

arXiv:1801.06852

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.

9 pages, 15 sources

Interpolation of functional by integral continued C-fractions · wovepaper