Stability of a Jensen type equation in the space of generalized functions

We reformulate and solve the stability problem of a Jensen type functional equation 3f x +y + z 3 +f (x)+ f (y) +f (z)−2f x +y 2 − 2f y +z 2 −2f z +x 2 = 0, in the spaces of some generalized functions such as tempered distributions and Fourier hyperfunctions. © 2005 Elsevier Inc. All rights reserved