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

D. I. Bodnar, M. M. Bubniak

Abstract


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

Keywords


periodic branched continued fractions of the special form, convergence

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