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, Bull.

Thus, similar to Doherty and Smetters (2005), we use a

concave function V(.

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.