0
$\begingroup$

$$f_n(x) = \frac{1}{n}\int_x^{x+n} f(t) dt$$ What is this kind of integral called? Thanks!

$\endgroup$
1
  • 1
    $\begingroup$ I guess you could call this the Average Value of $f(x)$ on the interval $[x, x+n]$, but I'm not sure that's what you're looking for. $\endgroup$
    – froggie
    Nov 8, 2015 at 23:35

2 Answers 2

1
$\begingroup$

I would call it a moving average.

$\endgroup$
-1
$\begingroup$

I've heard it referred to as an integral with respect to a "dummy" variable.

$\endgroup$
2
  • 1
    $\begingroup$ That describes all integrals. $\endgroup$ Nov 9, 2015 at 1:26
  • $\begingroup$ @Akiva To reword what I was thinking, the function has to do with changing the limits of integration, rather than changing a parameter of the function under the integral itself. In this case, x does not appear anywhere other than the limits of integration. Or are we not on the same page? $\endgroup$ Nov 9, 2015 at 3:09

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .