Displaying similar documents to “A Criterion for the Affine Equivalence of Cell Complexes in Rd and Convex Polyhedra in Rd+1 .”

Affine and convex functions with respect to the logarithmic mean

Janusz Matkowski (2003)

Colloquium Mathematicae

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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.