A sharp two-sided inequality for bounding the Wallis ratio

被引：4
|
作者：
Guo, Senlin [1 ]
Feng, Qi [2 ]
Bi, Ya-Qing [3 ]
Luo, Qiu-Ming [4 ]
机构：
[1] Zhongyuan Univ Technol, Dept Math, Zhengzhou 450007, Henan, Peoples R China
[2] Zhongyuan Univ Technol, Dept Computat Math, Zhengzhou 450007, Henan, Peoples R China
[3] Chongqing Normal Univ, Dept Lib, Chongqing 401331, Peoples R China
[4] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
关键词：
estimation; inequality; asymptotic formula; Wallis ratio; gamma function; MONOTONIC FUNCTIONS;
D O I：
10.1186/s13660-015-0560-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we establish a sharp two-sided inequality for bounding the Wallis ratio. Some best constants for the estimation of the Wallis ratio are obtained. An asymptotic formula for the Wallis ratio is also presented.
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页数：5
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