◀ ▲ ▶Branches / Analysis / Theorem: Inequality Between the Geometric and the Arithmetic Mean
Theorem: Inequality Between the Geometric and the Arithmetic Mean
Let $a_1,\ldots,a_n$ be nonnegative positive real numbers. Their geometric mean and their arithmetic mean obey the following inequality:
$$\sqrt[n]{a_1\cdots a_n}\le \frac{a_1+\cdots+a_n}n.$$
Table of Contents
Proofs: 1
Thank you to the contributors under CC BYSA 4.0!
 Github:

References
Bibliography
 Heuser Harro: "Lehrbuch der Analysis, Teil 1", B.G. Teubner Stuttgart, 1994, 11th Edition