| 确定多元凸函数的一个充分条件 |
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| 引用本文： | 龚茵杰,伍骏.确定多元凸函数的一个充分条件[J].西南民族学院学报(自然科学版),1993(2). |
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| 作者姓名： | 龚茵杰 伍骏 |
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| 作者单位： | 四川工业学院基础部，西南民族学院数学系 |
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| 摘 要： | 将凸函数的概念推广到多元函数,并在有二阶连续偏导数的条件下得到了判定函数为凸函数的一个充分条件,同时证明了蕴含这个条件的一个更广泛的不等式。
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| 关 键 词： | 多元凸函数 不等式 正定二次型 |
A Full Condition to Determine the Convex Function of Several Variables |
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| Gong Yinjie.A Full Condition to Determine the Convex Function of Several Variables[J].Journal of Southwest Nationalities College(Natural Science Edition),1993(2). |
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| Authors: | Gong Yinjie |
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| Abstract: | The concept of convex is adopted in the function of several variables and the condition to determine whether a function is a convex function has been obtained under the condition that there exist the continuous partial derivatives of the second order. Meanwhile, it also has been proved that the more generalized inequality contains such a condition. |
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| Keywords: | convex function of several variables inequality positive definte quadratic form |
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