单侧导数和对称导数混合方式下的微分中值定理  

Differential Mean Value Theorem Generalized with the Mixed Methods of One-sided Derivative and Symmetric Derivative

作　　者：张广计[1] 

机构地区：[1]西北政法大学经管学院,西安710063

出　　处：《大学数学》2013年第5期105-107,共3页College Mathematics

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.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.

关 键 词：单侧导数 对称导数 微分中值定理 勒贝格积分 

分 类 号：O172[理学—数学]