A Review of Quasi-Convex Functions

Harvey J. Greenberg and William P. Pierskalla
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Harvey J. Greenberg: Southern Methodist University, Dallas, Texas
William P. Pierskalla: The Technological Institute, Northwestern University, Evanston, Illinois

Operations Research, 1971, vol. 19, issue 7, 1553-1570

Abstract: 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 analogues do not exist.

Date: 1971
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