Improved Approximation Formulas and Inequalities for the Wallis Ratio

Xu You; Di Rong Chen

doi:10.1007/s41980-018-0165-z

Improved Approximation Formulas and Inequalities for the Wallis Ratio

Xu You^*
, Di Rong Chen

^*此作品的通讯作者

数学科学学院

Beijing Institute of Petrochemical Technology
Wuhan Textile University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	783-789
页数	7
期刊	Bulletin of the Iranian Mathematical Society
卷	45
期	3
DOI	https://doi.org/10.1007/s41980-018-0165-z
出版状态	已出版 - 1 6月 2019

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title = "Improved Approximation Formulas and Inequalities for the Wallis Ratio",

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.",

keywords = "Gamma function, Inequalities, Multiple correction method, Wallis ratio",

author = "Xu You and Chen, \{Di Rong\}",

note = "Publisher Copyright: {\textcopyright} 2018, Iranian Mathematical Society.",

year = "2019",

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AU - Chen, Di Rong

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N2 - 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.

AB - 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.

KW - Gamma function

KW - Inequalities

KW - Multiple correction method

KW - Wallis ratio

UR - https://www.scopus.com/pages/publications/85066153668

U2 - 10.1007/s41980-018-0165-z

DO - 10.1007/s41980-018-0165-z

M3 - 文章

AN - SCOPUS:85066153668

SN - 1018-6301

VL - 45

SP - 783

EP - 789

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 3

ER -

Improved Approximation Formulas and Inequalities for the Wallis Ratio

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