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A proof of the equivalence of the equation \(f(x+y-xy)+f(xy)=f(x)+f(y)\) and Jensen’s functional equation. (English) Zbl 0214.39102

39B05 General theory of functional equations and inequalities
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[1] Blanuša, D.,The Functional Equation f(x+yy)+f(xy)=f(x)+f(y), Aequationes Math.5, 63–67 (1970). · Zbl 0203.46202
[2] Daróczy, Z.,Über die Funktionalgleichung f(xy)+f(x+yy)=f(x)+f(y), Publ. Math. Debrecen16, 129–132 (1969) · Zbl 0202.15102
[3] Światak, H.,On the Functional Equation f(x+yy)+f(xy)=f(x)+f(y), Mat. Vesnik5 (20), 177–182 (1968). · Zbl 0165.50001
[4] Światak, H.,Remarks on the Functional Equation f(x+yy)+f(xy)=f(x)+f(y), Aequationes Math.1, 239–241 (1968). · Zbl 0165.17202
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