拉格朗日中值定理反问题存在性及存在不可导点的相关结论探讨  

The Inverse Problem of Lagrange Theorem and Study on Related Conclusions with Non-differentiable Points

作　　者：熊骏[1] 

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《长江大学学报（自科版）（上旬）》2016年第8期60-63,7,共4页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

摘　　要：从几何意义出发研究拉格朗日中值定理的反问题,得到了拉格朗日中值定理反问题的2个存在性结论。此外,还探讨了函数有不可导点情形下拉格朗日中值定理的相关结论,丰富了拉格朗日中值定理的结果。This paper studies the inverse problem on Lagrange theorem,starting from the geometric meaning,it obtains two conclusions about the existence of the inverse problem on the Lagrange theorem.In addition,the article also takes into account the function that has non-differentiable points,the mean value theorem of related conclusions are discussed,which enriches the Lagrange theorem.

关 键 词：拉格朗日中值定理 反问题 不可导点 

分 类 号：O172.1[理学—数学]