Finite Subadditivity

Finite subadditivity of a set function is the property that, for any finite disjoint collection of sets ${E_k}_(k=1)^n$ on which is defined,

A set function possessing finite subadditivity is said to be finitely subadditive. In particular, every finitely additive set function is also finitely subadditive.

See also

Countable Additivity, Countable Subadditivity, Disjoint Union, Finite Additivity, Set Function

This entry contributed by Christopher Stover

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References

Royden, H. L. and Fitzpatrick, P. M. Real Analysis. Pearson, 2010.

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Finite Subadditivity

Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "Finite Subadditivity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FiniteSubadditivity.html

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