New sequences with continued fraction towards Euler’s constant
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摘要
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.
论文关键词：Euler’s constant,Continued fraction,Rate of convergence,Asymptotic expansion,Inequalities
论文评审过程：Available online 3 March 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.02.021
