AM–GM inequality

Summary

AM–GM inequality is an inequality^[1]. It ranks in the top 5% of inequality entities by monthly Wikipedia readership (282 views/month).^[2]

Key Facts

• AM–GM inequality's image is recorded as AM GM inequality visual proof.svg^[3].
• AM–GM inequality's instance of is recorded as inequality^[4].
• Augustin-Louis Cauchy is named after AM–GM inequality^[5].
• arithmetic mean is named after AM–GM inequality^[6].
• geometric mean is named after AM–GM inequality^[7].
• AM–GM inequality's part of is recorded as HM-GM-AM-QM inequalities^[8].
• AM–GM inequality's Freebase ID is recorded as /m/02vr2n^[9].
• AM–GM inequality's defining formula is recorded as H \le G \le A^[10].
• AM–GM inequality's MathWorld ID is recorded as CauchysFormula^[11].
• AM–GM inequality's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• AM–GM inequality's in defining formula is recorded as H^[13].
• AM–GM inequality's in defining formula is recorded as G^[14].
• AM–GM inequality's in defining formula is recorded as A^[15].
• AM–GM inequality's PlanetMath ID is recorded as ProofOfArithmeticgeometricMeansInequality^[16].
• AM–GM inequality's PlanetMath ID is recorded as ArithmeticgeometricharmonicMeansInequality^[17].
• AM–GM inequality's PlanetMath ID is recorded as ProofOfArithmeticgeometricharmonicMeansInequality2^[18].
• AM–GM inequality's Yle topic ID is recorded as 18-245691^[19].
• AM–GM inequality's OpenAlex ID is recorded as C20565195^[20].
• AM–GM inequality's Digital Library of Mathematical Functions ID is recorded as 1.7.E7^[21].

Why It Matters

AM–GM inequality ranks in the top 5% of inequality entities by monthly Wikipedia readership (282 views/month).^[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.^[22] It is known by 41 alternative names across languages and contexts.^[23]