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多元函数有无穷多个驻点时的极值问题
引用本文:王积建.多元函数有无穷多个驻点时的极值问题[J].大学数学,2011,27(3):189-193.
作者姓名:王积建
作者单位:浙江工贸职业技术学院基础部,浙江,温州,325003
摘    要:讨论了二元函数和三元函数在有无穷多个驻点时的极值的判定方法,并进一步介绍了该判定方法在证明不等式方面的应用.

关 键 词:多元函数  驻点  极值  偏导数

The Extremum Problems of Function of Several Variables When They Have Limitless Stationary Points
WANG Ji-jian.The Extremum Problems of Function of Several Variables When They Have Limitless Stationary Points[J].College Mathematics,2011,27(3):189-193.
Authors:WANG Ji-jian
Institution:WANG Ji-jian(Zhejiang Industrial & Trade Polytechnic,Wenzhou,Zhejiang 325003,China)
Abstract:The article elaborates the judging methods of the extremum when bivariables and tri-variables have limitless stationary points.It gives further introduction about the application of such judging merhods to prove inequalities.
Keywords:function of several variables  stationary point  extremum  partial derivatives  
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