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.
In analytic inequality, the integral inequality of convex function of Hermite-Hadamard type plays an impor- tant role. At present, in the theory of convex function, the promotion of the classic concept of convex function, and re- search of integral inequality and its application problems, which is a hot research topic.The integral inequality of Her- mite-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 rn -Arithmetic Harmonic convex function and Holder inequality , some integral inequality of Hermite-Hadamard type related to rn -Arithmetic Harmonic convex function are obtained.
出处
《内蒙古民族大学学报（自然科学版）》
2013年第4期393-396,共4页
Journal of Inner Mongolia Minzu University：Natural Sciences
基金
内蒙古自治区高等学校研究项目(NJY13159)
