Das, PratulanandaSavaş, Ekrem2020-11-212020-11-2120141027-5487https://doi.org/10.11650/tjm.18.2014.3157https://hdl.handle.net/11467/3653In this paper we continue our investigation of the recent summability notion of I-statistical convergence introduced in [8, 26] (where a new extension of the notion of natural density and statistical convergence was proposed using the notion of ideals of the set of positive integers N) and introduce the notion of I-statistically pre-Cauchy sequences in line of [3]. We mainly show that I-statistical convergence implies I-statistical pre-Cauchy condition and give certain sufficient conditions for the converse to be true.eninfo:eu-repo/semantics/openAccessFilterI- natural densityI-limit inferiorI-statistical convergenceI-statistical pre-cauchy conditionIdealArticle181115126Q2WOS:000334150600007Q32-s2.0-8489260721210.11650/tjm.18.2014.3157