论文标题
詹森不平等的一些概括
Some Generalizations of Jensen's Inequality
论文作者
论文摘要
在本文中，我们对著名的Jensen和Jensen-Mercer不平等的不等式进行了一些改进和概括，对于两次可区分的功能，未提前假定目标功能的凸性属性。在凸/凹函数的情况下，这些不平等的细化代表了这些不平等现象，并具有许多在手段，概率和统计学理论中的应用。
In this article we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of the target function is not assumed in advance. They represents a refinement of these inequalities in the case of convex/concave functions with numerous applications in Theory of Means and Probability and Statistics.
