# Definition:Additive Function

## Disambiguation

This page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

**Additive Function** may refer to:

- Analysis:
- Additive Function (Conventional Definition): $f \left({x + y}\right) = f \left({x}\right) + f \left({y}\right)$

In measure theory, the concept has a completely different meaning:

- Additive Function (Measure Theory): $A \cap B = \varnothing \implies f \left({A \cup B}\right) = f \left({A}\right) + f \left({B}\right)$
- In this context, also see Sigma-Additive Function.