A CLASS OF COMPLETELY MIXED MONOTONIC FUNCTIONS INVOLVING THE GAMMA FUNCTION WITH APPLICATIONS

作者：Yang, Zhen-Hang; Tian, Jing-Feng^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(11): 4707-4721.

DOI：10.1090/proc/14199

• Completely mixed monotonic function
• gamma function
• psi function
• polygamma function
• inequality

In this paper, we introduce the notion of completely mixed monotonicity of a function of several variables, very few of which have appeared. We give a necessary and sufficient condition for a function constructed by ratios of gamma functions to be completely mixed monotonic. From this, some new inequalities for gamma, psi, and polygamma functions are derived.

• 出版日期2018-11
• 单位华北电力大学; 华北电力大学（保定）