It is the smallest convex set containing A. Det modsatte af konveks er konkav, i den forstand at f siges at være konkav dersom -f er konveks. Some examples of convex subsets of a are the and the.

NextVisually, a twice differentiable convex function "curves up", without any bends the other way.

For instance, a strictly convex function on an open set has no more than one minimum.

Next} In mathematical terminology, the of Minkowski summation and of forming are operations.

A closed convex subset is strictly convex if and only if every one of its is an.

NextIn , a convex function applied to the of a is always bounded above by the expected value of the convex function of the random variable.

Optimization by Vector Space Methods. If its second derivative is positive at all points then the function is strictly convex, but the does not hold. Proceedings of the International Congress of Mathematicians ICM 2010 : 3233—3257.

NextA is a defined on an with the property that its the set of points on or above the of the function is a convex set.

Encyclopedia of mathematics and its applications. Tetapi jika anda melihat iklan yang tidak sesuai atau tidak pantas di website kbbi. This includes Euclidean spaces, which are affine spaces.

NextLike strictly convex functions, strongly convex functions have unique minima on compact sets.

A C of S is convex if, for all x and y in C, the connecting x and y is included in C. Jensens ulighed gælder for konvekse funktioner. A set C is strictly convex if every point on the line segment connecting x and y other than the endpoints is inside the of C.

Convex analysis in general vector spaces.