几何凸(凹)函数积分的上(下)界比较及其一般结果  

Comparison of Upper(Lower) Bounds for Integral of Geometrically Convex(Concave) Functions and General Results

作　　者：杨镇杭[1] 

机构地区：[1]浙江省电力试验研究院,杭州310014

出　　处：《大学数学》2012年第4期76-80,共5页College Mathematics

摘　　要：运用齐次函数的分析性质,在基本不等式中插入了一个齐次加权"平均",推广加细了基本不等式.作为特例,得到了加权的对数,指数平均不等式,从而部分解决了文[1]提出的问题.Using the analytic properties of homogeneous functions, a homogeneous weighted mean is inserted in basic inequality, which generalizes and refines the basic inequality. As special examples, the inequalities for weighted logarithmic mean and exponential mean are presented, consequently a part of problems in article [1] is resolved.

关 键 词：几何凸函数 齐次函数 加权对数平均 基本不等式 上下界 

分 类 号：O178[理学—数学]