New sequences with continued fraction towards Euler’s constant

Dawei Lu, Lixin Song and Yang Yu

Applied Mathematics and Computation, 2015, vol. 259, issue C, 12-20

Abstract: In this paper, using the continued fraction, some new convergent sequences towards Euler’s constant are given. In order to demonstrate the superiority of the new sequences over DeTemple’s sequence, Mortici’s sequences and Lu’s sequences, some numerical simulations are given at the end of this article.

Keywords: Euler’s constant; Continued fraction; Rate of convergence; Asymptotic expansion; Inequalities (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:12-20

DOI: 10.1016/j.amc.2015.02.021

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