微积分在证明不等式中的应用

Calculus and applications in the proof of inequalities

不等式的证明是高等数学的一个难点.归纳了利用微积分证明不等式的五种方法:微分中值定理、函数单调性、函数最值、函数凹凸性和定积分.

Proof of inequalities is a difficulty in advanced mathematics. So, five methods are discussed a bout the application of differential mean value theorem, monotonicity of function, maximum function, con cave-convex functions, and definite integrals in calculus.