Some Quicker Approximations and Inequalities of the Wallis Ratio by Continued Fraction
Release Time:2019-03-12 Hits:
Indexed by: Journal Article
Date of Publication: 2016-11-01
Journal: RESULTS IN MATHEMATICS
Included Journals: Scopus、SCIE
Volume: 70
Issue: 3-4
Page Number: 325-335
ISSN: 1422-6383
Key Words: Wallis ratio; asymptotic series; continued fraction; double inequality; fast approximation formula
Abstract: 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.