Forgiving game mechanics give the player the benefit of the doubt.
As opposed to get punished for missing some jump timing, forgiving mechanics will extend the allowed-jump timing to support early and/or late jump presses.
There are some great talks/resources on this around, and some nice places that they've been applied.
These are all about doing what the player probably intended to do.
More time to jump after you've already run off the side
so that an incidental tap doesn't restart your run