Some new continued fraction approximation of Euler's constant

JOURNAL OF NUMBER THEORY

卷:147

Article

Lu, Dawei¹  Song, Lixin¹  Yu, Yang¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

关键词: Euler's constant;    Continued fraction;    Rate of convergence;    Asymptotic expansion;   

DOI  :  10.1016/j.jnt.2014.07.002

来源: Elsevier

【 摘 要 】

In this paper, using continued fraction, some quicker classes of sequences convergent to Euler's constant are provided. Finally, for demonstrating the superiority of our new convergent sequences over De Temple's sequence, Vernescu's sequence and Mortici's sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free