Turn on how? You press the power button the screen turns on you press the power button and the screen turns off, and a moment later, a minute later, much later, it turns back on? Is it in your pocket that you notice it turning on, or just sitting on a table. Will this just happen once or repeatedly turning itself on and off with no interaction?
I had a device that had an extremely sensitive power button and with the device in my pocket it would get hit accidentally and turn on whenever I put my hand in my pocket. I ended up having to place it in my pocket power button down to prevent accidental hits. A case might also help if it is accidental strikes. I suppose it could also be a notification turning it on, without knowing when or the circumstances behind your issue.