On the stability of generalized d'Alembert and Jensen functional equations
نویسندگان
چکیده
where f , g are two unknown functions to be determined. Equation (A f g), raised by Wilson, is called the Wilson equation sometimes, and (Ag f ) is raised by Kannappan and Kim [9]. Let g(x) ≡ k in (Ag f ). Then we have f (x + y) + f (x − y) = 2k f (y) for all x, y ∈ G. Putting y = 0 in this equation we have f (x)= k f (0). Hence f is a constant function. Let g(y)≡ 1 in (A f g). Then we have the Jensen functional equation
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2006 شماره
صفحات -
تاریخ انتشار 2006