Abstract
In this paper, we present a new approximation of the Wallis ratio. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the inequalities related to this approximation. Finally, some numerical computations are provided for demonstrating the superiority of our approximation over other classical ones.
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Communicated by Bamdad Yahaghi.
This work was supported by the National Natural Science Foundation of China (Grant nos. 11571267, 61403034 and 91538112), and NSAF under Grant U1830107, and Beijing Municipal Commission of Education Science and Technology Program KM201810017009.
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You, X., Chen, DR. Improved Approximation Formulas and Inequalities for the Wallis Ratio. Bull. Iran. Math. Soc. 45, 783–789 (2019). https://doi.org/10.1007/s41980-018-0165-z
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DOI: https://doi.org/10.1007/s41980-018-0165-z