HG-凸函数的两个Hadamard型不等式  

Two Hadamard Inequality of HG-convex function

作　　者：陈少元[1] 

机构地区：[1]湖北职业技术学院教务处,湖北孝感432000

出　　处：《湖北职业技术学院学报》2015年第4期107-109,共3页Journal of Hubei Polytechnic Institute

摘　　要：文章运用HG-凸函数与对数凸函数的关系和对数凸函数的Hadamard型不等式,通过积分变换,建立了HG-凸函数的Hadamard型不等式;考虑HG-凸函数的几何平均问题,应用HG-凸函数的Jensen型不等式和定积分的定义及积分运算,得到了HG-凸函数的另一形式的几何平均型Hadamar不等式,并给出其应用.Using the relation between HG - convex function and logarithmic convex function and Hadamard in-equality of logarithmic convex function, Hadamard inequality ot HL; - convex tunctlon is DUlIt oy me integrm trans- form. After that, taking geometric average problem of HG - convex function into consideration, using Jensen ine- quality of HG - convex function and the definition of definite integral and infinitesimal calculus, the other type geo-metric average Hadamard inequality of HG -convex function is deduced. Moreover, the application is offered as well.

关 键 词：HG-凸函数 对数凸函数 HADAMARD型不等式 

分 类 号：O174.13[理学—数学]