Abstract
An immediate, but apparently not yet published, alternative definition for quasiconvex functions is given for the case of continuity. This, then, is immediately generalized to α-quasiconvex functions with values from a connected quasiorder. Finally, the results obtained are investigated with respect to quasinimonotonic functions, including results on midpoint-quasimonotonic and rational-quasimonotonic functions.