The interpolation functional polynomial: the analogue of the Taylor formula

YO Baranetskij, II Demkiv, MI Kopach… - Matematychni …, 2018 - matstud.org.ua
The paper deals with a functional Newton type polynomial, which has two properties: the first
one is that interpolation nodes are continual, that is, they depend on continuous parameters …

An interpolation functional third-degree polynomial that does not use substitution rules.

I Demkiv - Journal of Mathematical Sciences, 2012 - search.ebscohost.com
∏ ∫ ∫ ∫ ∑ ∑ Page 1 Journal of Mathematical Sciences, Vol. 180, No. 1, January, 2012 AN
INTERPOLATION FUNCTIONAL THIRD-DEGREE POLYNOMIAL THAT DOES NOT USE …

Interpolational -rational integral fraction on a continual set of nodes

YO Baranetskij, II Demkiv, MI Kopach… - Carpathian …, 2021 - journals.pnu.edu.ua
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 …

Relation between interpolating integral continued fractions and interpolating branched continued fractions.

V Makarov, I Demkiv - Journal of Mathematical Sciences, 2010 - search.ebscohost.com
RELATION BETWEEN INTERPOLATING INTEGRAL CONTINUED FRACTIONS AND
INTERPOLATING BRANCHED CONTINUED FRACTIONS )] 1 Page 1 Journal of Mathematical …

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

B Ya O, D II, K MI, S AV - … Mathematical Publications/Karpats' …, 2021 - search.ebscohost.com
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 …