On a generalization of sum form functional equation (I).
Kannappan, Palaniappan
Stochastica, Tome 7 (1983), p. 97-109 / Harvested from Biblioteca Digital de Matemáticas
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The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...

Publié le : 1983-01-01
DMLE-ID : 1664 
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     title = {On a generalization of sum form functional equation (I).},
     journal = {Stochastica},
     volume = {7},
     year = {1983},
     pages = {97-109},
     zbl = {0563.39004},
     mrnumber = {MR0766694},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38889}
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Kannappan, Palaniappan. On a generalization of sum form functional equation (I).. Stochastica, Tome 7 (1983) pp. 97-109. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38889/