Well depends what you will play. And medium settings or Ultra (maximum).
Also if you checked my link, you'd see that even some older games barely do 30-60 fps on that laptop, 22 fps on Very High on Crysis 3.
So if you are willing to play medium settings on older games, or simple games like CS/Dota, sure it will run. Otherwise it will be a bit laggy since you won't even get 60 fps constant.
The increase from 1080p to 2560x1080 is less than 50% so if the game gets 60fps at 1080, you might get like 40 on the new monitor at the same settings, unless you drop some quality.
Personally I'd recommend you upgrade your PC or something, instead of getting better display. Unless you don't care that it looks ugly.