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利用詹森不等式推广几个数学问题
引用本文:孙风军.利用詹森不等式推广几个数学问题[J].兵团教育学院学报,2009,19(3):40-42.
作者姓名:孙风军
作者单位:石河子大学师院/兵团教院,新疆,石河子,832003
摘    要:詹森(Jensen)不等式是解决不等式问题的一个重要方法,也是发现数学问题的重要手段。运用詹森不等式的关键是通过观察所给代数式的函数特征,构造一个凹或凸的函数,以利解题。

关 键 词:不等式  数学问题  解题方法:凹(凸)函数

Some Extensions of Mathematical Problems by the Jensen Inequalityt
SUN Feng-jun.Some Extensions of Mathematical Problems by the Jensen Inequalityt[J].Journal of Bingtuan Education Institute,2009,19(3):40-42.
Authors:SUN Feng-jun
Institution:Teachers College of Shihezi University/Bingtuan Education Institute;Shihezi Xinjiang 832003;China
Abstract:The Jensen inequality is an important method that solves inequality problems,and it is also the important method that discovers mathematical problems.The key point is that:by observing the character of a given algebraic expression, a concave or convex function could be formed to help problems solving.
Keywords:inequality  mathematical problems  concave or convex function  
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