关于一道三重积分不等式的数学竞赛题,考虑被积函数和积分区域的特征,分别运用几何方法、柯西不等式和球面坐标,给出了多种解法,与原解法对比,显示出解题思路的灵活性.
This paper shows different ways, such as geometric method, Cauchy inequality, and spherical coordinates,for proving a triple integral inequality of a mathematics contest. Compared with the original method,it shows diversity in problem- solving strategies.