| Cristinel Mortici†
Abstract: We introduce some sequences approximating the constant e, related to the sequence defining the constant e and its irrationality. The main tool for constructing those sequences is a result of Cesàro-Stolz type. Some related inequalities are given. Keywords: factorial function, constant e, rate of convergence, inequalities. MSC: 41A21, 26D05, 26D15, 33B10. DOI 10.56082/annalsarscimath.2026.1.153 †cristinel.mortici@valahia.ro, cristinel.mortici@hotmail.com, Valahia University of Târgoviște, 130004, Târgoviște, Romania; Academy of Romanian Scientists, 050044 Bucharest, Romania; National University of Science & Technology Politehnica Bucharest, 060042 Bucharest, Romania |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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