一道积分不等式的多种证法

Multi-Approaches to an Integral Inequality

通过对一道积分不等式提供多种不同的证法,希望能对学生创造性思维及发散性思维的培养、开阔解题思路、提高综合应用数学知识的能力等有所帮助,并使学生对证明不等式的常用方法有所了解.

By providing several proofs to an integral inequality, the author wish to inspire students＇ creative thinking and divergent thinking, to open students＇ mind for problem solving, and to enhancement students＇ ability of synthesis mathematics knowledge. The author also wishes to assist students in understanding the commonly used methods of proving inequalities.