For positive numbers 
and 
with 
,
 |
Arithmetic-Logarithmic-Geometric Mean Inequality
See also
Arithmetic Mean, Geometric Mean, Napier's InequalityExplore with Wolfram|Alpha
References
Nelson, R. B. "Proof without Words: The Arithmetic-Logarithmic-Geometric Mean Inequality." Math. Mag. 68, 305, 1995.Referenced on Wolfram|Alpha
Arithmetic-Logarithmic-Geometric Mean InequalityCite this as:
Weisstein, Eric W. "Arithmetic-Logarithmic-Geometric Mean Inequality." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Arithmetic-Logarithmic-GeometricMeanInequality.html