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论文类型：期刊论文

发表时间：2016-11-01

发表刊物：RESULTS IN MATHEMATICS

收录刊物：SCIE、Scopus

卷号：70

期号：3-4

页面范围：325-335

ISSN号：1422-6383

关键字：Wallis ratio; asymptotic series; continued fraction; double inequality; fast approximation formula

摘要：In this paper, we present a new formula for approximating the Wallis ratio. This new formula is very fast in comparison with other classical or recently discovered asymptotic series. Next, inequalities related to this new formula and asymptotic series are established. Finally, for demonstrating the superiority of our new series, some numerical computations are provided.