关于p-凸函数的不等式  

Inequalities for p-Convex Functions

作　　者：时统业[1] 李军[1] SHI Tongye;LI Jun(Department of Information, PLA Naval Command College, Nanjing 211800, China)

机构地区：[1]海军指挥学院信息系,南京211800

出　　处：《湖南理工学院学报（自然科学版）》2017年第2期1-5,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：已有文献证明了h-凸函数的h-左导数、h-右导数的存在性和单调性.p-凸函数是h-凸函数的特例,所以p-凸函数的单侧导数存在且单调.借助单侧导数建立了p-凸函数的积分不等式,从而得到p-凸函数的加权Hermite-Hadamard型不等式的加强.The existing literatures have shown that the left and right h-derivatives for h-convex functions are monotone.p-convex functions is a special case of h-convex functions,so unilateral derivatives of p-convex functions are monotone.With theaid of unilateral derivatives,we established inequalities for p-convex functions,and obtain weighted Hermite-Hadamard typeinequalities for p-convex functions.

关 键 词：P-凸函数 h-凸函数 Hermite-Hadamard 型不等式 积分不等式 

分 类 号：O178[理学—数学]