A standard update (done through the "Settings" on the phone) should not remove any files you had on the device. If the update was done through there, try restarting (turning off and back on) the phone and see if they show up again. If not, then you can try data retrieval but there is no guaranty that will work.
Now, if you 'updated' to a newer version on your own (and it wasn't through the phone's settings but something you downloaded and installed yourself) then that isn't actually an update and that one I can't help with. If that is the case, I would suggest posting in the "Rooting, Jailbreaking & Unlocking" forum. http/www.tomsguide.com/forum/forum-117.html
While there is no guaranty that you can get them back. Deleted does mean deleted. There are a few apps/programs out there that 'may' be able to help you recover the data.
A few of the programs you could try would be... DiskDigger, MobiSaver, Android-Recovery and Tenorshare. They are all data recovery apps/programs. There are many others out there, so check around and see which you would rather try. There is also one called RECUVA, that I have heard is free, which you could try.
One important note though, most of these programs are not free. They may say they are "free" or have "Free Trials" and "Free Downloads". Yet to actually recover your data, and get your files back, you may be have to purchase the program/app. Just so you know.
NOTE: For future reference, I really would suggest backing up your data to a computer or cloud. Often. Better to spend the time doing that, rather than to be out all that stuff if the phone dies, things get deleted/erased or it gets stolen.