摘要
探讨灵活运用函数的单调性、极值、凸函数、中值定理、柯西—施瓦兹不等式等高等数学知识对不等式问题进行分析、构造与转化,通过实例给出了用高等数学知识证明有关不等式的方法。
Through the article,we attempt to do research into using related knowledge of advanced mathematics to analyze,reconstruct and transform the problems of inequality.By some given examples,we show how to use the knowledge of advanced mathematics to prove inequality.
出处
《牡丹江教育学院学报》
2009年第3期63-64,共2页
Journal of Mudanjiang College of Education
关键词
不等式
高等数学
单调性
极值
中值定理
柯西-施瓦兹不等式
inequality equations
advanced mathematics
monotonicity
extreme value
mean value theorem
Cauchy-Shvartz inequality.