Affine and convex functions with respect to the logarithmic mean
Janusz Matkowski
Colloquium Mathematicae, Tome 96 (2003), p. 217-230 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284453 
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     volume = {96},
     year = {2003},
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Janusz Matkowski. Affine and convex functions with respect to the logarithmic mean. Colloquium Mathematicae, Tome 96 (2003) pp. 217-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-6/