一个涉及Beta函数积分不等式的多种推广

Some Extensions of an Integral Inequality with Beta Function

摘要: 本文对南开大学的一个考研积分不等式进行分析，给出了一种解答，并在此基础上对其进行了多种形式的推广，有助于在教学中引导学生进行数学探讨。

Abstract: We analyse the integral inequality of a postgraduate examination at Nankai University, a method of proof is given, and on the basis several extensions have been made to it, it is helpful to guiding students to carry out mathematics research.