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

M. M. Bubniak

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.

Keywords


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

Full Text: Article (Українська) References
3 :: 5

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.