Then [phi] is said to be a schur Harmonically concave function on [OMEGA] if and only if-[phi] is schur Harmonically convex.
0], then [phi] is a schur- Harmonically convex (Schur-Harmonically) concave function.
Let u: I [right arrow] R be a twice continuously differentiable strictly increasing concave function
with decreasing absolute risk aversion defined in an open interval I.
2, that if f is an increasing convex or concave function
on [a, b] , then
The optimal capacity is a concave function
of [theta] as soon as the cost function is "sufficiently" convex.
Contrary to the well-known unlimited liability model represented by the objective function [Mathematical Expression Omitted], the objective function H under limited liability is not a concave function
of the decision variable.
The producer chooses s to maximize the expected value of a concave function
G of real profits, i.
There exists a strictly concave function
|Phi~, so that the investor's utility function is now |Phi~(U(|center dot~)).
Pecaric, A continuous analogue and an extension of Rado's for convex and concave function
Thus, similar to Doherty and Smetters (2005), we use a concave function
Let |Sigma~(|center dot~) be an increasing concave function
with |Sigma~(0) = 0, |Sigma~(1) = 1, |Sigma~|prime~(0) = |infinity~ and |Sigma~|prime~(1) = 0.
Therefore, this technique is not comparable with genetic algorithm, since it could be applied for only one field of problems and is not applicable for concave functions
, although genetic algorithm has no limits.