[1]成立社..导数与原函数结构定理的注记[J].郑州大学学报(工学版),1999,20(03):42-44.[doi:10.3969/j.issn.1671-6833.1999.03.014]
　Establishment of the company..Annotation of the structure theorem of derivatives and original functions[J].Journal of Zhengzhou University (Engineering Science),1999,20(03):42-44.[doi:10.3969/j.issn.1671-6833.1999.03.014]

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导数与原函数结构定理的注记()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

20

期数:

1999年03期

页码:

42-44

栏目:

出版日期:

1999-01-01

文章信息/Info

Title:

Annotation of the structure theorem of derivatives and original functions

作者:

成立社.

郑州工业大学数理力学系,河南郑州,450002

Author(s):

Establishment of the company.

关键词:

导数;  原函数;  结构定理

Keywords:

derivatives;  Original function;  Structure theorem

DOI:

10.3969/j.issn.1671-6833.1999.03.014

文献标志码:

A

摘要:

对由导数与函数的结构特征推知原函数的结构特征定理进行研究,并对其进行了某些修正和推广,获得了由该类函数自身及其导数的结构特征.不仅可以推知原函数的结构性,而且也可推知其高阶导数结构性的较严密的结果,从而在这类函数上实现了原函数与高阶导数这对互逆运算的统一性.

Abstract:

The structural feature theorem for deriving the structural characteristics of the original function from the structural characteristics of the derivative and the function is studied, and some corrections and generalizations are made to obtain the structural characteristics of the function itself and its derivatives. It is not only possible to infer the structure of the original function, but also to infer the tighter results of the structure of its higher-order derivative, so as to realize the unity of the inverse operation of the original function and the higher-order derivative on such functions.

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