Truncation-error bounds for the 1-periodic branched continued fraction of special form

M.M. Bubniak

doi:10.15330/cmp.5.2.187-195

Truncation-error bounds for the 1-periodic branched continued fraction of special form

Authors

M.M. Bubniak Ternopil National Economic University, 11 Lvivska str., 46020, Ternopil, Ukraine

https://doi.org/10.15330/cmp.5.2.187-195

Keywords:

1-periodic branched continued fraction of special form, Worpitsky’s criterion, union of parabolic regions

Published online: 2013-12-30

Abstract

Truncation-error bounds for the 1-periodic continued fraction of special form are established at the following conditions: if first element of the fraction belongs to complex plain with the cut ($−\infty;−1/4$] and the sum of modules of other elements is limited by a certain number; if elements belong to their respective parabolic regions or union of that parabolic regions and all their modules, except of the first one, are limited.