"Power mean" refers to the mathematical concept of a generalized mean that is raised to a certain power. Synonyms for this term include generalized mean, Hölder mean, weighted mean, and generalized f-mean. These terms all refer to different variations of the power mean formula, which calculates the mean of a set of numbers by weighting each number differently depending on its magnitude or importance. Some other terms that are related to the power mean include harmonic mean, geometric mean, and arithmetic mean, which are also types of statistical averages. The use of power means is common in various fields, such as physics, finance, and engineering.