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几何凸函数的几个定理及其应用
引用本文:张小明.几何凸函数的几个定理及其应用[J].首都师范大学学报(自然科学版),2004,25(2):11-13,18.
作者姓名:张小明
作者单位:浙江海宁电大,浙江海宁,314400
摘    要:研究几何凸函数与凸函数的之间关系,定义了Schu—几何凸函数,给出判定几何凸函数和schur—几何凸函数的几个定理并举例说明定理的实用性.

关 键 词:Schu—几何凸函数  不等式  几何凸集  几何凹函数

Some Theorems on Geometric Convex Function and Its Applications
Zhang Xiaoming.Some Theorems on Geometric Convex Function and Its Applications[J].Journal of Capital Normal University(Natural Science Edition),2004,25(2):11-13,18.
Authors:Zhang Xiaoming
Abstract:The relation between the geometric convex function and the convex function is studyed and Schur-geometric convex function is defined.Moreover,the decision theorems for the geometric convex function and Schur-geometric convex function are established and its applications are given.
Keywords:Inequality  convex function  geometric convex function  Schur-geometric convex function  
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