摘要
凸函数是数学分析中的一个重要内容,同时也是教学的重点和难点。本文从凸函数的定义出发,介绍了凸函数三个常见的等价定义,并且仔细研究了凸函数的性质。最后又从凸函数的角度讨论了几个常用不等式的证明。
Convex functions are an important content of mathematical analysis, and it is also the focus and difficulty part of teaching. This paper introduces three equivalent definitions of the convex function, and gives some properties of convex functions. Finally, several useful inequalities are also discussed from the perspective of convex functions.
出处
《理论数学》
2024年第4期184-189,共6页
Pure Mathematics
