指数凸函数的积分不等式及其在Gamma函数中的应用

摘要

仿对数凸函数的概念，给出指数凸函数的定义，并证明有关指数凸函数的几个积分不等式，作为应用，得到一个新的Kershaw型双向不等式。%Copying a definition of logarithmic convex functions, this paper defines exponential convex functions and establishes some integral inequalities involving the functions. As application, a new Kershaw-type inequality is presented.