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论文类型：期刊论文

发表时间：2014-11-01

发表刊物：JOURNAL OF NUMBER THEORY

收录刊物：SCIE

卷号：144

页面范围：340-352

ISSN号：0022-314X

关键字：Glaisher-Kinkelin's constant; Bendersky-Adamchik's constants; Rate of convergence; Asymptotic expansion

摘要：In this paper, some new polynomial approximations, inequalities and rates of convergence of Claisher-Kinkelin's and Bendersky-Adamchik's constants are provided. Finally, for demonstrating the superiority of our new convergent sequences over the classical sequences, some numerical computations are also given. (C) 2014 Elsevier Inc. All rights reserved.