Do these headphone support infrared connection?

their spec page Studio³ Wireless | Premium Noise Cancelling Over-Ear Headphones - Beats (beatsbydre.com)

does not mention infrared anywhere

never heard about headsets having that before really, only purpose I could think of it one could use some sort of remote to inc and dec the volume from a fare

No, they do not. They rely solely on using Bluetooth for connectivity.

One note of advice: Don't always trust what you read from a reseller. If you want to know about specific specifications on anything, I suggest you go to the manufacturer's support site to get the answers, albeit, that's not always 100% accurate as well.