Motivated by a result of Lucio R. Berrone [1] we deal with the functional equation f(x+y) = f(x) + f(y) + 2f (\Phi(x,y))and its variants to distinguish the classical Pythagorean Law from among its numerous abstractgeneralizations.Motivation
@article{225, title = {Abstract Pythagorean law and corresponding functional equations}, journal = {Tatra Mountains Mathematical Publications}, volume = {55}, year = {2013}, doi = {10.2478/tatra.v55i0.225}, language = {EN}, url = {http://dml.mathdoc.fr/item/225} }
Ger, Roman. Abstract Pythagorean law and corresponding functional equations. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v55i0.225. http://gdmltest.u-ga.fr/item/225/