| 多元函数的带有皮亚诺(G.peano)余项的泰勒(Taylor)公式与极值问题 |
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| 引用本文： | 刘爱兰,曹俊云. 多元函数的带有皮亚诺(G.peano)余项的泰勒(Taylor)公式与极值问题[J]. 焦作工学院学报, 1991, 0(3) |
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| 作者姓名： | 刘爱兰 曹俊云 |
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| 摘 要： | 为了讨论多元函数的高阶导数与极值的关系,作者在本文中首先对多元函数提出了带有皮亚诺余项的泰勒公式,然后在此基础上提出并证明了多元函数极值点的三个判定定理。最后指出了多元函数(?)问题中尚待解决的问题.
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| 关 键 词： | 皮亚诺余项 高阶无穷小 极值 |
THE TAYLOR''''S FORMULA WITH G.PEANO''''S REMAINDER AND THE EXTREMUM PROBLEMS OF SEVERAL VARIABLES |
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| Cao Junyun Liu Ailan. THE TAYLOR''''S FORMULA WITH G.PEANO''''S REMAINDER AND THE EXTREMUM PROBLEMS OF SEVERAL VARIABLES[J]. Journal of Jiaozuo Institute of Technology(Natural Science), 1991, 0(3) |
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| Authors: | Cao Junyun Liu Ailan |
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| Affiliation: | Cao Junyun Liu Ailan |
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| Abstract: | In order to discuss the relation of higher order derivatives and extrema of several vari- ables,the author first of all raises the Taylor's formula of severa variables with G.peano's remainder,and on the basis of the formula we raises and proves three theo- rems for the extrema to be criticized;finally,we point out the open problems in the extrema problems of several variables. |
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| Keywords: | G.peano'sremainder Higher order infinitesimal extremum |
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