This is a part of a recent program by a number of authors to study information measures on open domain. In this series, this paper is devoted to the study of the functional equation (2) on an open domain. This functional equation is connected to the weighted entropy and weighted entropy of degree a.
@article{urn:eudml:doc:38934,
title = {On a functional equation connected to sum form nonadditive information measures on an open domain (III).},
journal = {Stochastica},
volume = {9},
year = {1985},
pages = {111-124},
zbl = {0609.39006},
mrnumber = {MR0840456},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38934}
}
Kannappan, Palaniappan; Sahoo, Prasanna K. On a functional equation connected to sum form nonadditive information measures on an open domain (III).. Stochastica, Tome 9 (1985) pp. 111-124. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38934/