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 ...

We derive a mean value property for p-harmonic functions in two dimensions, 1 < p < ∞, which holds asymptotically in the viscosity sense. The formula coincides with the classical mean value property ...