You, basically, cannot install Apple's iTunes on an Android device. There are tons of applications to help you sync your computer's iTunes with your tablet or using your tablet as a remote control for iTunes, but it won't run iTunes-like mobile version that you can find on iDevices, period. There isn't even an APK for it.
Look for alternatives to iTunes in the market store: Winamp, VLC, Jukefox and so many more apps that might be better than the iTunes.
