单侧导数和对称导数混合方式下的微分中值定理 |
| |
引用本文: | 张广计. 单侧导数和对称导数混合方式下的微分中值定理[J]. 大学数学, 2013, 0(5): 105-107 |
| |
作者姓名: | 张广计 |
| |
作者单位: | 西北政法大学经管学院,西安710063 |
| |
摘 要: | 微分中值定理是分析中的一个重要定理,文[1-2]用对称导数讨论该定理,文[3-4]用单侧导数讨论该定理,而本文把两种导数结合起来以混合方式给出该定理的三种形式,且条件更弱.
|
关 键 词: | 单侧导数 对称导数 微分中值定理 勒贝格积分 |
Differential Mean Value Theorem Generalized with the Mixed Methods of One-sided Derivative and Symmetric Derivative |
| |
Affiliation: | ZHA NG Gua ng-j i (College of Econ. and Man. , Northwest Univ. of Politics and Law, Xi'an 710063, China) |
| |
Abstract: | The differential mean value theorem is an important theorem in analysis . The theorem is discussed with symmetric derivative in paper [1-2] ,and with one-sided derivative in paper [3-4]. But in this paper, three forms of the theorem is given with the mixed methods of one-sided derivative and symmetric derivative, and its conditions are weaker. |
| |
Keywords: | one-sided derivative symmetric derivative differential mean value theorem lebesgue integral |
本文献已被 维普 等数据库收录! |
|