Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions
Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions
复制标题
涉及伽玛函数的函数的单调和对数凸性质
DOI：
10.1155/2009/728612
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发表时间：
2009-01-01
影响因子：
1.6
通讯作者：
Jiang, Yue-Ping
中科院分区：
文献类型：
--
作者：
Zhao, Tie-Hong;Chu, Yu-Ming;Jiang, Yue-Ping
Using the series-expansion of digamma functions and other techniques, some monotonicity and logarithmical concavity involving the ratio of gamma function are obtained, which is to give a partially affirmative answer to an open problem posed by B.-N. Guo and F. Qi. Several inequalities for the geometric means of natural numbers are established. Copyright (C) 2009 Tie-Hong Zhao et al.
