Yang Zhen-Hang, Qian Wei-Mao, Chu Yu-Ming, Zhang Wen
Department of Mathematics, Huzhou University, Huzhou, 313000 China.
Customer Service Center, State Grid Zhejiang Electric Power Research Institute, Hangzhou, 310009 China.
J Inequal Appl. 2017;2017(1):210. doi: 10.1186/s13660-017-1484-y. Epub 2017 Sep 8.
In the article, we prove that the double inequality [Formula: see text] holds for all [Formula: see text], we present the best possible constants and such that [Formula: see text] for all [Formula: see text], and we find the value of [Formula: see text] in the interval [Formula: see text] such that [Formula: see text] for [Formula: see text] and [Formula: see text] for [Formula: see text], where [Formula: see text] is the classical gamma function, [Formula: see text] is Euler-Mascheroni constant and [Formula: see text] .
在本文中，我们证明了双不等式[公式：见正文]对所有[公式：见正文]成立，我们给出了使得[公式：见正文]对所有[公式：见正文]都成立的最佳可能常数[具体常数]，并且我们找到了在区间[公式：见正文]内的[具体值]，使得当[公式：见正文]时[公式：见正文]，当[公式：见正文]时[公式：见正文]，其中[公式：见正文]是经典伽马函数，[公式：见正文]是欧拉 - 马歇罗尼常数且[公式：见正文] 。
