Open AccessInterpolational $(L,M)$-rational integral fraction on a continual set of nodes
Author(s) -
Ya. О. Baranetskij,
І. І. Демків,
М. І. Kopach,
Anton V. Solomko
Publication year - 2021
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.13.3.587-591
Subject(s) - mathematics , degree (music) , polynomial , fraction (chemistry) , set (abstract data type) , polynomial and rational function modeling , rational function , discrete mathematics , pure mathematics , mathematical analysis , computer science , chemistry , physics , organic chemistry , acoustics , programming language
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.