Publikationsdatum:
1998-01-01
Beschreibung:
In this paper, we determine the general solution of the functional equationsf(x+y+xy)=p(x)+q(y)+g(x)h(y), (∀x,y∈ℜ*)andf(ax+by+cxy)=f(x)+f(y)+f(x)f(y), (∀x,y∈ℜ)which are generalizations of a functional equation studied by Pompeiu. We present a method which is simple and direct to determine the general solutions of the above equations without any regularity assumptions.
Print ISSN:
0161-1712
Digitale ISSN:
1687-0425
Thema:
Mathematik
Permalink