【摘要】 积分不等式的证明是微积分学中较困难问题之一.Hadamard定理是一个著名积分不等式.本文对附加二阶可导条件的Hadamard定理给出九种证明方法,其目的一方面拓展学生的解题思路,另一方面让学生了解一些证明积分不等式的常用方法.更多还原

【Abstract】 The proof of integral inequality is one of the most difficult questions in calculus. Hadamard theorem is a famous integral inequality. In this paper,nine proof methods are proposed for Hadamard theorem under second order differentiable condition. Aim of this paper is to expand students’ thinking of solving problems. On the other hand,common methods to prove integral inequality are known by students.更多还原