Average Function Value
The average function value is a simple estimate of a function within some region.
Contents
Description
It is well understood that given a function f(x), the average value over a range like [a,b] is:
The first component represents the inverse of the region of integration. In this univariate case, the region is a length. The second component represents the sum of all values given by f(x) in the region. The average is the sum of values divided by the region.
With two variables, consider:
The region is now an area.