Sublinear function
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A sublinear function, in linear algebra and related areas of mathematics, is a function on a vector space V over F, an ordered field (e.g. the real numbers ), which satisfies, for all scalars γ and vectors x and y
- (positive homogenity)
- (subadditivity)
[edit] Examples
- Every (semi-)norm is a sublinear function
[edit] Properties
- Every sublinear function is a convex function