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 ...

We prove among others results that the harmonic mean of Γq(ₓ) and Γq(1/ₓ) is greater than or equal to 1 for arbitrary x > 0, and q ∈ J where J is a subset of [0, +∞). Also, we prove that there is a ...

Biharmonic maps extend the concept of harmonic maps by exploring critical points of higher order energy functionals. In Riemannian geometry, while harmonic maps minimise the classical energy ...