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

Using Mathematica

Plus @@@ Partition[{0, 1, 2, 3}, 2, 1] or either of these more verbose alternatives

Apply[Plus, Partition[{0, 1, 2, 3}, 2, 1], {1}]
Map[Apply[Plus, #] &, Partition[{0, 1, 2, 3}, 2, 1]]

I have used and enjoyed this higher order function in many languages but I have enjoyed it the most in Mathematica; it seems succinct and flexible broken down into Partition and Apply with levelspec option.