In this note we solve the inhomogeneous Cauchy functional equation f(x+y) - f(x) - f(y) = d(x,y), x,y belonging to R, in the case where d is bounded.
@article{urn:eudml:doc:38844,
title = {On the inhomogeneous Cauchy functional equation.},
journal = {Stochastica},
volume = {5},
year = {1981},
pages = {71-77},
zbl = {0492.39002},
mrnumber = {MR0641837},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38844}
}
Fenyö, István; Forti, Gian Luigi. On the inhomogeneous Cauchy functional equation.. Stochastica, Tome 5 (1981) pp. 71-77. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38844/