| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9503232 | Journal of Mathematical Analysis and Applications | 2005 | 12 Pages |
Abstract
We solve the functional equation F1(t)âF1(t+s)=F2[F3(t)+F4(s)] for real functions defined on intervals, assuming that F2 is positive valued and strictly monotonic and that F3 is continuous. The equation arose from the equivalence problem of utility representations under assumptions of separability, homogeneity and segregation (e-distributivity).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Attila Gilányi, Che Tat Ng, János Aczél,