Bounding differences in Jager Pairs

TL;DR

This paper establishes bounds on the differences in Jager Pairs for continued fraction-like expansions, including classical and backwards continued fractions, using symmetrical subdivisions in their space.

Contribution

It introduces a method to bound differences in Jager Pairs through symmetrical subdivisions, applicable to various continued fraction expansions.

Findings

Bounds on differences in Jager Pairs are derived.

Results apply to classical regular and backwards continued fractions.

Method provides a unified approach for different continued fraction types.

Abstract

Symmetrical subdivisions in the space of Jager Pairs for continued fractions-like expansions will provide us with bounds on their difference. Results will also apply to the classical regular and backwards continued fractions expansions, which are realized as special cases.