AM-GM Inequality

proper noun

The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.

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Meanings

proper noun

alternative AM-GM inequality

  1. The fact that the arithmetic mean of nonnegative numbers is not less than their geometric mean, and is more if some of the numbers are distinct.

Origin

From arithmetic mean – geometric mean inequality.

Full word history & related roots →
Cite this entry
APA

AM-GM Inequality. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/AM-GM%20Inequality

MLA

“AM-GM Inequality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/AM-GM%20Inequality. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “AM-GM Inequality,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/AM-GM%20Inequality.

Source: AM-GM Inequality on Wiktionary, CC BY-SA 4.0.