ar X iv : 0 90 3 . 11 60 v 1 [ m at h . FA ] 6 M ar 2 00 9 Quadratic – quartic functional equations in RN – spaces
نویسندگان
چکیده
In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(2x+ y) + f(2x− y) = 4[f(x + y) + f(x− y)] + 2[f(2x) − 4f(x)]− 6f(y).
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تاریخ انتشار 2009