SOME SEQUENCES DERIVED FROM THE CLASSICAL PROOF OF e’S IRRATIONALITY

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 2026 Open access

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Authors: Cristinel Mortici
DOI: 10.56082/annalsarscimath.2026.1.153
Cited by: 0
References: 3

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 Ces`aro-Stolz type. Some related inequalities are given.

Fields of Study & Subjects

Analytic Number Theory Research Approximation Theory and Sequence Spaces Mathematical Inequalities and Applications

Publication details

Journal / source
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
Volume
18
Issue
1
Pages
153–160
Publication date
1 January 2026
Language
EN