Geodesic
Affine and convex functions with respect to the logarithmic mean
Janusz Matkowski 1
1 Institute of Mathematics University of Zielona Góra Podgórna 50 65-246 Zielona Góra, Poland
Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 217-230 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm95-2-6
Keywords: class functions infty rightarrow infty which continuous least point affine respect logarithmic mean determined related results concerning functions convex respect logarithmic mean presented

Janusz Matkowski  1

1 Institute of Mathematics University of Zielona Góra Podgórna 50 65-246 Zielona Góra, Poland 
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Janusz Matkowski. Affine and convex functions
 with respect to the logarithmic mean. Colloquium Mathematicum, Tome 95 (2003) no. 2, pp. 217-230. doi: 10.4064/cm95-2-6

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