On the curvature of the trigamma function
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摘要
The trigamma function ψ1(x). satisfies the inequality ψ1(x)−αψ1(αx) < 0 for all x > 0 and 0 < α < 1. This can be viewed as a characterization of the curvature of this function.
论文关键词：Inequalities,zeta function,polygamma function,maximum likelihood estimation
论文评审过程：Received 2 February 1985, Available online 19 June 2002.
论文官网地址：https://doi.org/10.1016/0377-0427(86)90231-1
