The only real historical reference is the edict from 354 that PeterD mentions. I believe it not only refers to the coinage of
Magnentius (who was defeated in late 353) but also likely all of the larger
AE2 coinage introduced by
Constans and Constantius in 350. By 354 these
had been replaced with smaller, lighter falling horseman coins and the
mint wanted the silver rich, larger coinage back.
Though that is the only historical use of the term Maiorina it is often used by dealers to refer to the
AE2 size coinage struck from 348 (i.e. the large
FEL TEMP REPARATIO Galley and
Falling Horsemen types) through to 395 (
Theodosius and family's
GLORIA ROMANORVM).
The term Double Maiorina is used by some dealers to refer to the larger
AE1 types. Thus, Magnentius'
SALVS, Julian's
Bull, and
Jovian and Valentinian's short lived
AE1 types.
Shawn