Cauchy's Mean Theorem/Also known as

Theorem

Cauchy's Mean Theorem is widely known as:

• the Arithmetic-Geometric Mean Inequality
• the AM-GM Inequality.

Some sources give this as Cauchy's formula, but this is too imprecise to be useful.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): arithmetic-geometric mean inequality
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): arithmetic-geometric mean inequality
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): arithmetic-geometric mean inequality
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): arithmetic-geometric mean inequality
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): arithmetic-geometric mean inequality