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 ?
beta]] (c is bounded), we assume that g([beta]) is strictly convex function.
It is an explicit rational, strictly convex function for all x such that [L.
Consider a strictly convex function F: S [right arrow] R defined on a convex set S [subset] [R.