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A nondegenerate interpolation continued fraction

UDC 517.518:519.652 We prove that the Thiele's interpolation continued fraction has either \(2k-1\) approximants when the function is a polynomial of the \(k\)th degree or \(2k\) approximants for the function \(g(z) =a/(z-\alpha)^k.\) We specify the conditions under which the coeffici...

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Bibliographic Details
Date:	2026
Main Authors:	Myslo, Yu., Pahirya, M., Мисло, Юлія, Пагіря, Михайло
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8698
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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