Finite Subadditivity

A set function is said to possess finite subadditivity if, given 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.

Cite this as:

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

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