A sharp two-sided inequality for bounding the Wallis ratio

Journal of inequalities and applications

Senlin Guo¹ 

关键词: estimation;    inequality;    asymptotic formula;    Wallis ratio;    gamma function;    11B65;    41A44;    05A10;    26D20;    33B15;    41A60;   

DOI  :  10.1186/s13660-015-0560-4

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY