Open AccessOn convergence $(2,1,\dots,1)$-periodic branched continued fraction of the special form
Author(s) -
D. І. Bodnar,
M. M. Bubniak
Publication year - 2015
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.7.2.148-154
Subject(s) - fraction (chemistry) , mathematics , convergence (economics) , truncation (statistics) , continued fraction , truncation error , mathematical analysis , arithmetic , statistics , chemistry , chromatography , remainder , economics , economic growth
$(2,1,\dots,1)$-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.