Example image of eyePlorer eyePlorer map for 'Convex function': Convex set Domain of a function Function (mathematics) Interval (mathematics) Mathematics Vector space Epigraph (mathematics) Graph of a function If and only if Concave function Continuous function Countable set Derivative Measurable function Monotonic function Smooth function Tangent Maxima and minima Second derivative Hessian matrix Positive-definite matrix Level set Quasiconvex function Jensen's inequality Expected value Taylor's theorem Absolute value Exponential function Logarithmically convex function Linear map Affine transformation Norm (mathematics) Triangle inequality Kachurovskii's theorem Subderivative Characteristic function (convex analysis) Closed convex function Convex analysis Geodesic convexity Hermite–Hadamard inequality Invex function Polyconvex function Popoviciu's inequality Proper convex function Rosenbrock function Bohr–Mollerup theorem Complex convexity Conic optimization Convex optimization F-divergence