HM-GM-AM-QM inequalities - Wikipedia
In mathematics, the HM-GM-AM-QM inequalities state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (aka root mean square, RMS). Suppose that ,, …, are positive real numbers.Then < / + / + + / + + + + + +. These inequalities often appear in mathematical competitions and have applications in many fields of science.
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