Exquasiconcave

Another observation is that a function f : X −→ is concave if and only if −f is convex. The following theorem states an important result associated with ...

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 ...

If f (x) is a monotonic function of a single variable, then it is both quasi-concave and quasi-convex (quasi-affine) f (x) = x3,f (x) = ex ,f (x) = e−x ,f (x) ...

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 ...

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 ...

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 ...

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 ...

3.4 Exercises on quasiconcavity and quasiconvexity. Draw the upper level sets of each of the following functions for the indicated values.

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 ...

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 ...