I could be wrong on this one but I couldn’t find any menu entry for a smooth deformer.
A google search gives me only third party smooth deformer.
Am I missing something or maya doesn’t really have a native smooth deformer?
P.S. I don’t count subdivide command as a smoothing deformer. Smooth Deformer (like what is in other DCC) performs a relax operation between vertices so they are evenly distributed. And they don’t increase the vert count.
I know right?
You can get to one, though. Do a DeltaMush, and set the “displacement” attribute to 0
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Ah gotcha!
Displacement to 0. That’s the missing link.
I used the Delta Mush but it only works on animated object.
So the displacement to 0 makes it so that it is also possible on static object.
Thanks!
For what its worth: Here is a little code snippet that does vertex smoothing:
(This can be pretty slow. You have been warned.
) Maybe it is helpful for you or someone else. 
Cheers