$On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form$

On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form

$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form. Truncation error bounds are estimated for these fractions und...

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Bibliographic Details
Main Authors:	D.I. Bodnar, M.M. Bubniak
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2015-12-01
Series:	Karpatsʹkì Matematičnì Publìkacìï
Subjects:	periodic branched continued fractions of the special form convergence
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/1393

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record_format	Article
spelling	doaj-e340e70f6816471cb0bcc2872b9f75452020-11-25T03:14:55ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102015-12-017214815410.15330/cmp.7.2.148-1541393On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special formD.I. Bodnar0M.M. Bubniak1Ternopil National Economic University, 11 Lvivska str., 46020, Ternopil, UkraineTernopil National Economic University, 11 Lvivska str., 46020, Ternopil, Ukraine$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form. Truncation error bounds are estimated for these fractions under additional conditions.https://journals.pnu.edu.ua/index.php/cmp/article/view/1393periodic branched continued fractions of the special formconvergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	D.I. Bodnar M.M. Bubniak
spellingShingle	D.I. Bodnar M.M. Bubniak On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form Karpatsʹkì Matematičnì Publìkacìï periodic branched continued fractions of the special form convergence
author_facet	D.I. Bodnar M.M. Bubniak
author_sort	D.I. Bodnar
title	On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
title_short	On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
title_full	On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
title_fullStr	On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
title_full_unstemmed	On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
title_sort	on convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
publisher	Vasyl Stefanyk Precarpathian National University
series	Karpatsʹkì Matematičnì Publìkacìï
issn	2075-9827 2313-0210
publishDate	2015-12-01
description	$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form. Truncation error bounds are estimated for these fractions under additional conditions.
topic	periodic branched continued fractions of the special form convergence
url	https://journals.pnu.edu.ua/index.php/cmp/article/view/1393
work_keys_str_mv	AT dibodnar onconvergence21dots1periodicbranchedcontinuedfractionofthespecialform AT mmbubniak onconvergence21dots1periodicbranchedcontinuedfractionofthespecialform
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On convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form

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