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

D.I. Bodnar, M.M. Bubniak

Karpatsʹkì Matematičnì Publìkacìï · 2015

doi:10.15330/cmp.7.2.148-154 (opens in a new tab)

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Abstract

$(2,1,\dots,1)$-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.

Abstract licence: CC BY-NC-ND

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