# 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*x*_{1},*x*_{2},*x*_{3}such that*a*<>*x*_{1}<>*x*_{2}<>*x*_{3}<>*b, ƒ*(*x*_{2})≤*L*(*x*_{2}), where*L*(*x*) is the equation of the straight line passing through the points [*x*_{1}, ƒ(*x*_{1})] and [*x*_{3}, ƒ(*x*_{3})].Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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