Affine and convex functions with respect to the logarithmic mean
Volume 95 / 2003
Colloquium Mathematicum 95 (2003), 217-230
MSC: Primary 26E60, 26B25; Secondary 39B62.
DOI: 10.4064/cm95-2-6
Abstract
The class of all functions $f:(0,\infty )\rightarrow (0,\infty )$ 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.
