Stability of generalized additive Cauchy equations
oleh: Soon-Mo Jung, Ki-Suk Lee
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2000-01-01 |
Deskripsi
A familiar functional equation f(ax+b)=cf(x) will be solved in the class of functions f:ℝ→ℝ. Applying this result we will investigate the Hyers-Ulam-Rassias stability problem of the generalized additive Cauchy equation f(a1x1+⋯+amxm+x0)=∑i=1mbif(ai1x1+⋯+aimxm) in connection with the question of Rassias and Tabor.