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首先,我们规定:a、b、c为正数。 (a~2+b~2+c~2)/3~(1/2)表示三个正数的幂平均;(a+b+c)/3表示三个正数的算术平均;(abc)~(1/3)表示三个正数的几何平均。有(等号当且仅当a=b=c时成立)不等式②是高中三册P62定理2的推
First, we provide that: a, b, c are positive numbers. (a~2+b~2+c~2)/3~(1/2) represents the power mean of three positive numbers; (a+b+c)/3 represents the arithmetic mean of three positive numbers; (abc )~(1/3) represents the geometric average of three positive numbers. There is (equal sign if and only if a=b=c holds) Inequality 2 is the push of the third book P62 Theorem 2.