quasiconvexfunction

Aconcavefunctionisquasiconcave.Aconvexfunctionisquasiconvex.Proof:Denotethefunctionbyf,andthe(convex)setonwhichitisdefined ...,Anadditionalobjectiveofthisreviewistoclarifythestructureunderlyingquasi-convexfunctionsbypresentinganaloguestopropertiesofconvexfunctions, ...,Thefollowingtheoremprovidesanalternativedefinitionofconcaveandconvexfunctions.Theorem1.LetDbeaconvexsubsetofRnandletf:D→Rbea ....

3.4 Quasiconcavity and quasiconvexity

A concave function is quasiconcave. A convex function is quasiconvex. Proof: Denote the function by f, and the (convex) set on which it is defined ...

A REVIEW OF QUASI

An additional objective of this review is to clarify the structure underlying quasi-convex functions by presenting analogues to properties of convex functions, ...

Convexity and Quasiconvexity

The following theorem provides an alternative definition of concave and convex functions. Theorem 1. Let D be a convex subset of Rn and let f : D → R be a ...

Quasiconvex and Quasiconcave functions

Every convex function is quasiconvex but the converse is not true. A function which is both quasiconvex and quasiconcave is called quasimonotone. Theorem.

Quasiconvex function

In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse ...

[凸分析] 任意遞增函數為quasiconcave 與quasiconvex

2017年12月24日 — Theorem: 令f:R→R 為遞增函數,則f 同時為quasiconcave 與quasiconvex。

擬凸函數

擬凸函數(Quasiconvex function)是一類定義在實向量空間的區間或凸子集上的實值函數,且滿足對任意實數 a -displaystyle a} -displaystyle a} ...