Displaying similar documents to “An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure”

Affine and convex functions with respect to the logarithmic mean

Janusz Matkowski (2003)

Colloquium Mathematicae

Similarity:

The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.