Approximation of functions of several variables by multidimensional $S$-fractions with independent variables

The paper deals with the problem of approximation of functions of several variables by branched continued fractions. We study the correspondence between formal multiple power series and the so-called "multidimensional $S$-fraction with independent variables". As a result, the necessary and...

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Bibliographic Details
Main Authors: R.I. Dmytryshyn, S.V. Sharyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2021-11-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4995