与GA-凸函数的Hermite-Hadamard型不等式相关的两个函数

摘要

构造了一个与GA-凸函数有关的带有参数的积分,利用GA凸函数的定义导出关于GA凸函数的HermiteHadamard型不等式,由此引出两个与此不等式相关的函数,通过研究它们的准线性和单调性,获得了关于GA凸函数的Hermite-Hadamard型不等式的新的加细.%An integral with a parameter related to GA-convex functions is constructed.The HermiteHadamard' s type inequality for GA-convex functions is derived by definition,and two functions relate to the inequality are thereby introduced.By studying their quasilinear characteristics and monotonicity,a new refinement to the Hermite-Hadamard' s type inequality of GA-convex functions is obtained.