quasiconvexdefinition

ThefunctionfofmanyvariablesdefinedonaconvexsetSisquasiconvexifeverylowerlevelsetoffisconvex.(Thatis,Pa=x∈S:f(x)≤a}isconvex ...,2015年8月27日—Afunctionf:Rn→Risquasiconvexifandonlyif.x∈Rn:f(x)≤a}isconvexforalla∈R.Thelowercontoursetisaconvexset.,Areal-valuedfunctiongdefinedonaconvexsubsetCsubsetR^nissaidtobequasi-convexifforallrealalphainR,thesetxinC:g(x),Inmathematics,aquasiconvexfunctionisareal...

參考資訊如下
3.4 Quasiconcavity and quasiconvexity

The function f of many variables defined on a convex set S is quasiconvex if every lower level set of f is convex. (That is, Pa = x ∈ S: f(x) ≤ a} is convex ...

Lecture 14 The Last One!

2015年8月27日 — A function f : Rn → R is quasiconvex if and only if. x ∈ Rn : f (x) ≤ a} is convex for all a ∈ R. The lower contour set is a convex set.

Quasi

A real-valued function g defined on a convex subset C subset R^n is said to be quasi-convex if for all real alpha in R, the set x in C:g(x)

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 — 在數學上如果看到if and only if 這類的句子，其實是表示一種雙條件句，通常可以直接將其視為 定義(Definition) 待之，今天要分享的是這樣的一個 ...

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} ...