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关于多元函数的凹凸性
引用本文:张文君,孙胜利.关于多元函数的凹凸性[J].商丘职业技术学院学报,2011(5):6-7.
作者姓名:张文君  孙胜利
作者单位:商丘技师学院;商丘职业技术学院;
摘    要:将一元函数的凹凸性概念推广到多元函数,给出了多元函数为凸函数或严格凸函数的若干充要条件.

关 键 词:凸区域  多元凸(凹)函数  充要条件

The Study of Convex and Concave Characteristics of Melti-element Function
ZHANG Wen-jun,SUN Sheng-li.The Study of Convex and Concave Characteristics of Melti-element Function[J].Journal of Shangqiu Vocational and Technical College,2011(5):6-7.
Authors:ZHANG Wen-jun  SUN Sheng-li
Institution:ZHANG Wen-jun1,SUN Sheng-li2(1.Shangqiu Technician College,Shangqiu 476000,China.2.Shangqiu Vocational and Technical College,China)
Abstract:The concept of convex and concave characteristics in one-element function was extended to multi-element function.Several causal and necessary conditions were provided,through which multi-element function will be convex function or will strictly be convex function.
Keywords:convex range  multi-element convex(concave)function  causal and necssary conditions  
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