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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Veröffentlicht in:Karpats'kì matematinì publìkacìï 2015-12, Vol.7 (2), p.148-154
Hauptverfasser: Bodnar, D.I., Bubniak, M.M.
Format: Artikel
Sprache:eng
Schlagworte:
convergence
periodic branched continued fractions of the special form
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Zusammenfassung:$(2,1,\dots,1)$-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.
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.7.2.148-154