convex function


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convex function

[′kän‚veks ′fəŋk·shən]
(mathematics)
A function ƒ(x) is considered to be convex over the interval a,b if for any three points x1, x2, x3 such that a <>x1<>x2<>x3<>b, ƒ (x2)≤ L (x2), where L (x) is the equation of the straight line passing through the points [x1, ƒ(x1)] and [x3, ƒ(x3)].
References in periodicals archive ?
In fact, the conclusions of Theorem 4 follow not only under proportional pricing, but whenever K(Q) is convex in Q; that is, when the difference between the new and old price functions is a convex function.
It may be noted that every convex function is a preinvex function, but the converse is not true (2).
Zlotkiewiez, Early coefficients of the inverse of a regular convex function, Proc.
It is an explicit rational, strictly convex function for all x such that [L.
n] [right arrow] R is a continuously differentiable convex function.
1] [right arrow] R U {+[infinity]} is a proper convex function.
However, since the energy characteristics of the HVAC systems can be adequately approximated as a convex function (Ann et al.
2001, Inequalities for generalize weighted mean values of convex function, Math.
Consider a strictly convex function F: S [right arrow] R defined on a convex set S [subset] [R.
Let g: I [member of] R be a convex function and f: I [member of] R be a g-convex dominated function.