Both FujiFilm Finepix Z90 and Olympus 5010 have 1/2.3-inch sized 14.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the Finepix Z90 and 5010 sensor size comparison.
Sensor Size and Resolution Comparison image of FujiFilm Finepix Z90 and Olympus 5010 Cameras
FujiFilm Finepix Z90 and Olympus 5010 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
FujiFilm Finepix Z90
or the
Olympus 5010 ,
including hyperfocal distance.