Exquasiconcave

2019年12月28日 — Could someone please explain why the function −exp(−axy) is a quasi concave function. I am confused because an exponential function is convex ...

Let's consider a convex set Ω ⇢ IRn and the function f : Ω ! IR real function. Definition (Strictly quasi-concave) f is Strictly quasi-concave if for all x, ...

2015年8月27日 — ex is quasiconcave but not concave. In fact it is also convex and quasiconvex. Theorem. Any increasing or decreasing function is both ...

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 ...

g2(x) := e−x is strictly monotonically decreasing therefore it is quasi–concave, too. However, g(x) := g1(x) + g2(x) = ex + e−x is strictly convex; it is ...

2022年12月6日 — A function f: S → R is concave if for all x,y ∈ S and 0 ≤ t ≤ 1, f(tx + (1 − t)y) ≥ tf(x) + (1 − t)f(y). When the inequalities are strict ...

2015年9月5日 — We say that f is quasi-concave if for all x,y∈Rn and for all λ∈[0,1] we have f(λx+(1−λ)y)≥minf(x),f(y)}. And a function is quasi-convex if ...

2022年3月8日 — I am studying quasi-concave and I've come up with a question about the exponential function such as y=ex. It is quite bothering me and I am ...

2020年4月25日 — Here is a quasi-concave function that is neither concave nor monotone. Example 3. f(x) = e−x2 is quasi-concave (the function is similar to ...

2020年10月29日 — Quasiconvexity means the above with ≥ substituted for >. So, let's suppose that we have equality. Without loss of generality, assume f(x1 ...