On one hand, Libgdx is widely prevalent in the Android market according to AppBrain, which claims that 1.53 percent of the apps (August 13, 2014) are made with this framework. If you have already taken a look at the Releasing your Libgdx game on Android recipe, you will quickly realize that it is quite easy to target that platform.
On the other hand, iOS has the most restrictive deployment process but it is still worth the hassle because of its huge market, which really offers you an opportunity to promote your game.
With this recipe, you will find the way to finally publish your Libgdx game on the Apple App store.
The first wall that you will hit within this recipe is the need of having an OS X machine ...