Geodesic
A functional equation related to an equality of means problem
Janusz Matkowski1
1 Faculty of Mathematics, Computer Science and Econometrics University of Zielona Góra Szafrana 4a 65-516 Zielona Góra, Poland and Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 289-298 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The functional equation $$ \frac{F(x)-F(y)}{x-y}=\frac{G(x)+G(y)}{H(x)+H(y)}% $$ where $F,G,H$ are unknown functions is considered. Some motivations, coming from the equality problem for means, are presented.
DOI : 10.4064/cm122-2-14
Keywords: functional equation frac f x y frac where unknown functions considered motivations coming equality problem means presented

Janusz Matkowski 1

1 Faculty of Mathematics, Computer Science and Econometrics University of Zielona Góra Szafrana 4a 65-516 Zielona Góra, Poland and Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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Janusz Matkowski. A functional equation related to an equality of means problem. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 289-298. doi: 10.4064/cm122-2-14

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