We utilize and extend a simple and classical mechanism, combining log-concavity and majorization in the convex order to derive moments, concentration, and entropy inequalities for certain classes of log-concave distributions.

翻译：我们利用并推广一个简单和古典的机制,将日志的调和和主要化结合起来,以便对某些类别的日志的调和分布产生时间、集中和星云的不平等。