Generalized quasi-arithmetic means extend the classical concept of averaging by employing continuous, strictly monotonic functions to transform and then re-transform data. Originally introduced to ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The simple definition of a mean is that of a numeric quantity which represents the center of a collection of numbers. Here the trick lies in defining the exact type of numeric collection, as beyond ...