The convergence of sequences in terms of positive and alternating Perron expansions
<|reference_start|>The convergence of sequences in terms of positive and alternating Perron expansions: We consider conditions for the convergence of sequences in terms of positive and alternating Perron expansions ($P$-representation and $P^-$-representation). These conditions are crucial to determine the continuity of functions that are defined using $P$-representation or $P^-$-representation of real numbers.<|reference_end|>
@article{moroz2024the,
    title={The convergence of sequences in terms of positive and alternating Perron
  expansions},
    author={Mykola Moroz},
    journal={arXiv preprint arXiv:2410.04136},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.04136},
    primaryClass={math.CA cs.NA math.NA}
}