Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Quasi-convex function

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_842

Given a function f (⋅) and points x, yX, with xy and X convex, if −f (y) ≥−f(x) implies that −fx + (1 − λ)y] ≥−f (x) for all 0 < λ < 1, then we say that f is a quasi-convex function. Concave function; Convex function.

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Saul I. Gass
    • 1
  • Carl M. Harris
    • 2
  1. 1.Robert H. Smith School of BusinessUniversity of MarylandCollege PartUSA
  2. 2.School of Information Technology & EngineeringGeorge Mason UniversityFairfaxUSA