Affine and convex functions with respect to the logarithmic mean

Janusz Matkowski. "Affine and convex functions with respect to the logarithmic mean." Colloquium Mathematicae 95.2 (2003): 217-230. <http://eudml.org/doc/284453>.

@article{JanuszMatkowski2003,
abstract = {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.},
author = {Janusz Matkowski},
journal = {Colloquium Mathematicae},
keywords = {mean value; logarithmic mean; -affine function; -convex function; quasi-logarithmic mean, inequalities; functional equations, continuous functions},
language = {eng},
number = {2},
pages = {217-230},
title = {Affine and convex functions with respect to the logarithmic mean},
url = {http://eudml.org/doc/284453},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Janusz Matkowski
TI - Affine and convex functions with respect to the logarithmic mean
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 2
SP - 217
EP - 230
AB - 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.
LA - eng
KW - mean value; logarithmic mean; -affine function; -convex function; quasi-logarithmic mean, inequalities; functional equations, continuous functions
UR - http://eudml.org/doc/284453
ER -