节点文献
微积分中值定理间的关系
Relations between Differential and Integral Mean Value Theorem
【摘要】 直观地阐述从微分中值定理到积分中值定理,乃至第二积分中值定理的演绎过程,指出积分中值定理的实质仍是微分中值定理,并在经典积分中值定理的条件下,得到更强的结论.
【Abstract】 In this paper,we discuss the deductive process from the differential mean value theorem to the integral mean value theorem and further to the second integral mean value theorem intuitively.It is pointed out that the essence of the integral mean value theorem is still the differential mean value theorem.Moreover,with the same condition,we obtain an improved form of the of the classic integral mean value theorem.
- 【文献出处】 高等数学研究 ,Studies in College Mathematics , 编辑部邮箱 ,2014年06期
- 【分类号】O172.1-4;G642
- 【被引频次】2
- 【下载频次】638