Stability of generalized additive Cauchy equations
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 Rass...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200005184 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |