Some exact constants for the approximation of the quantity in the Wallis' formula

被引：25
|
作者：
Guo, Senlin [1 ]
Xu, Jian-Guo [1 ]
Qi, Feng [2 ]
机构：
[1] Zhongyuan Univ Technol, Dept Math, Zhengzhou 450007, Henan, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
approximation; gamma function; Stirling's formula; Wallis' formula; MONOTONIC FUNCTIONS; GAMMA FUNCTIONS; BOUNDS; INEQUALITIES; WENDELS; PSI;
D O I：
10.1186/1029-242X-2013-67
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a sharp two-sided bounding inequality and some best constants for the approximation of the quantity associated with the Wallis' formula are presented.
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页数：7
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