| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709472 | Applied Mathematics Letters | 2011 | 4 Pages |
Abstract
The stability behaviour of the functional equation F(y)âF(x)=(yâx)f((x+y)/2) is studied. It is proved that this equation is superstable i.e. if f,F satisfy |F(y)âF(x)(yâx)f((x+y)/2)|â¤Îµ then f satisfies this equation (with some F). In order to obtain this result the equation hÎh2f(x)=0 is considered and it is proved that also this equation is superstable.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Tomasz Szostok, Szymon WÄ
sowicz,