What do we call this (new?) higher-order function?

Question

I am trying to name what I think is a new idea for a higher-order function. To the important part, here is the code in Python and Haskell to demonstrate the concept, which will

Answer 1

Here's another implementation for Python which works if l is a generator too

import itertools as it

def apply_pairwise(f, l):
    left, right = it.tee(l)
    next(right)
    return it.starmap(f, it.izip(left, right))

I think apply_pairwise is a better name