A REVIEW OF QUASI-CONVEX FUNCTIONS.

Many theorems involving convex functions have appeared in the literature since the pioneering work of JENSEN. Recently some results have been obtained for a larger class of functions: quasi-convex. This review summarizes in condensed form results known to date, providing some refinements to gain further generality. An additional objective of this review is to clarify the structure underlying quasi-convex functions by presenting analogues to properties of convex functions, and by illustrating where dialogues do not exist. [ABSTRACT FROM AUTHOR]