A proof of the equivalence of the equation*(x+y−xy)+*(xy)=*(x)+*(y) and Jensen's functional equation

Author:

Światak Halina

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference4 articles.

1. Blanuša, D.,The Functional Equation f(x+y−xy)+f(xy)=f(x)+f(y), Aequationes Math.5, 63–67 (1970).

2. Daróczy, Z.,Über die Funktionalgleichung f(xy)+f(x+y−xy)=f(x)+f(y), Publ. Math. Debrecen16, 129–132 (1969)

3. Światak, H.,On the Functional Equation f(x+y−xy)+f(xy)=f(x)+f(y), Mat. Vesnik5 (20), 177–182 (1968).

4. Światak, H.,Remarks on the Functional Equation f(x+y−xy)+f(xy)=f(x)+f(y), Aequationes Math.1, 239–241 (1968).

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