In mathematics, a superadditive set function is a set function whose value when applied to the union of two disjoint sets is greater than or equal to the sum of values of the function applied to each of the sets separately. This definition is analogous to the notion of superadditivity for real-valued functions. It is contrasted to subadditive set function.
Definition.
Let formula_1 be a set and formula_2 be a set function, where formula_3 denotes the power set of formula_1. The function "f" is "superadditive" if for any pair of disjoint subsets formula_5 of formula_1, we have formula_7.
Citations.
 ;templatestyles src="Reflist/styles.css" / ;