Interpolational $(L,M)$-rational integral fraction on a continual set of nodes

Ya.O. Baranetskij; I.I. Demkiv; M.I. Kopach; A.V. Solomko

doi:10.15330/cmp.13.3.587-591

Ya.O. Baranetskij Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
I.I. Demkiv Lviv Polytechnic National University, 12 Bandera str., 79013, Lviv, Ukraine
M.I. Kopach Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
A.V. Solomko Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-6213-4130

https://doi.org/10.15330/cmp.13.3.587-591

Keywords: interpolation, functional polynomial, continual set of nodes, chain fraction, rational fraction

Published online: 2021-11-19

Abstract

In the paper, an integral rational interpolant on a continual set of nodes, which is the ratio of a functional polynomial of degree $L$ to a functional polynomial of degree $M$, is constructed and investigated. The resulting interpolant is one that preserves any rational functional of the resulting form.

Interpolational $(L,M)$-rational integral fraction on a continual set of nodes

Abstract

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