2008/04/25 by J.-P. Crouzeix · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Functional Equations Stability Results #Advanced Banach Space Theory #Combinatorics #Regular polygon #Concave function #Mathematics #Convex function #Function (biology) #Physics #Geometry
paper · doi:10.1057/9780230226203.1375
openalex publication_date 2008/04/25 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/01
A real function f defined on a convex subset C of a linear space E is said to be quasi-concave ifx, y∈ C, t∈ [0,1]⇒ f( tx+(1- t) y)≥ Min[ f(x), f(y)].A function g is said to be quasi-convex if – g is quasi-concave. Concave functions are quasi-concave, convex functions are quasi-convex.