Airplay files from device lag/stutter

Hello apple friends.

I got a apple tv. i use this brilliant app called air video HD wich works fine for streaming movies from PC to the apple tv. no lag and no stutter.

Also, mirroring games like modern combat 4 work without stutter. there is a delay in controls wich makes it unplayable, but no stutter.

...but here comes the problem. while air video HD can stream movies just fine(probaly by converting on-the-fly) it cannot play exactly desame file from my iphone 5s or ipad air to the third-gen apple tv. Well it actually can (tried VLC from app store) but there is alot stutter.

Its weird how everything else that i stream is without problems or stutter....but playing files locally(1080p, i want no less) results in annoying stutter.

How can i fix this? Is there a better player to use? Is on-the-fly converting and streaming consuming less data so i need faster connection?

i would like to add that the apple tv is wireless set up. no cable to router. only will do this cable to router if you really think this will solve the issue.

any additional info required?

Thanks!