Discover why investors prefer the geometric mean for assessing portfolio performance due to its compounding effect, and learn how it differs from the arithmetic mean.

The goal of this short note is the presentation of an elementary proof of the wellknown inequality between the arithmetic and geometric means. Our approach shows that the proof reduces to simple ...

Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...