A functional equation related to an equality of means problem
Janusz Matkowski
Colloquium Mathematicae, Tome 122 (2011), p. 289-298 / Harvested from The Polish Digital Mathematics Library
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The functional equation (F(x)-F(y))/(x-y) = (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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:283972 
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     title = {A functional equation related to an equality of means problem},
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     volume = {122},
     year = {2011},
     pages = {289-298},
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     language = {en},
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Janusz Matkowski. A functional equation related to an equality of means problem. Colloquium Mathematicae, Tome 122 (2011) pp. 289-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-2-14/