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论文类型：期刊论文

发表时间：2017-06-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：175

页面范围：100-116

ISSN号：0022-314X

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

摘要：In this paper, we define some new continued fraction sequences towards Euler's constant and two related inequalities. We also present some numerical simulations to demonstrate the superiority of the optimal new sequences over new sequences with other coefficients and Lu's sequences at the end of this article. (C) 2017 Elsevier Inc. All rights reserved.