Encyclopedia of Operations Research and Management Science

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

Strictly quasi-convex function

  • Saul I. Gass
  • Carl M. Harris
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_1010

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 strictly quasi-convex function.  Concave function;  Convex function;  Quasi-concave function;  Quasi-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