KnowraConvex functionLinked fromLinked fromThe 22 pages that link to Convex function, each with the reason it gives.All 22Broader topic 3Related 10Narrower topic 7Compared with 2Jensen's inequalityNarrower topic: Its defining property supplies Jensen’s inequality for weighted averages.Hermite–Hadamard inequalityNarrower topic: The inequality follows from this defining chord property.Karamata's inequalityNarrower topic: Convexity makes greater spread increase the sum of function values.Young's inequality for productsNarrower topic: Convexity underlies both the power-function proof and the Fenchel–Young generalization.Bohr–Mollerup theoremNarrower topic: Log-convexity is ordinary convexity applied after taking a logarithm.Gibbs' inequalityNarrower topic: Convexity underlies the inequalities used to establish nonnegative divergence.Levinson's inequalityNarrower topic: Nonnegative third derivative makes the first derivative convex, enabling the paired-sum comparison.