【摘要】 在分析不等式中,凸函数的Hermite-Hadamard型积分不等式占有十分重要的地位.目前,凸函数理论中的一个热门研究课题为对经典凸函数概念进行推广,并研究其各类Hermite-Hadamard型积分不等式及其应用问题.本文建立了m-算数调和凸函数的概念,利用m-算数调和凸函数的性质和H lder积分不等式,得到了m-算数调和凸函数的几个Hermite-Hadamard型积分不等式.更多还原

【Abstract】 In analytic inequality,the integral inequality of convex function of Hermite-Hadamard type plays an important role.At present,in the theory of convex function,the promotion of the classic concept of convex function,and research of integral inequality and its application problems.which is a hot research topic.The integral inequality of Hermite-Hadamard type for m-convex have been obtained,and it has widespread application in proof of inequality.In this paper,the definition of m-Arithmetic Harmonic convex function are given,by the properties of m-Arithmetic Harmonic convex function and H lder inequality,some integral inequality of Hermite-Hadamard type related to m-Arithmetic Harmonic convex function are obtained.更多还原