摘要
定积分不等式命题的证明涉猎面广且复杂,文中首先以1道考研题为例,从不同角度通过六种不同的证明方法给出了解答;随后列举了七个典型例题,用七种证明方法演示了以定积分不等式为背景的证题思路。
Proof o f integral inequality o f proposition covers widely and complicatedly. This paper firstly takes one test question in graduate student entrance examination as an example, from different angles by six different methods that gives the answer; then enumerates seven typical examples, seven methods to prove to demonstrate the integral inequality for background proof knot thinking.
作者
贾延
JIA Yan(School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China)
出处
《宁波教育学院学报》
2018年第2期76-78,116,共4页
Journal of Ningbo Institute of Education
基金
北方民族大学教学研究项目(2017JY0804)
关键词
高等数学
辅助函数
分部积分法
凹凸性
变量代换
advanced mathematics
auxiliary function
partial integration method
concavity and convexity
variable substitution
