Some quicker classes of sequences convergent to Euler’s constant

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摘要

In this paper, some quicker classes of sequences convergent to Euler’s constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over DeTemple’s sequence, Vernescu’s sequence and Mortici’s sequences, some numerical computations are also given.

论文关键词:Euler’s constant,Rate of convergence,Asymptotic expansion

论文评审过程:Available online 7 February 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.01.068