Improvements include a custom app icon if you save it to the home screen. Normally there is an option in the mobile browser menu to "Save to Home Screen" or something similar. Very handy if you use the app frequently. It also lets you run the app in full screen mode without the browser URL bar.
Functional improvements include cargo and power statistics for station designs. This is in the upper right on phones and lower left on tablets and desktops.
Thanks to everyone who pointed out that some parts were missing from the original release: Lunar Module, Transponder, Stand-Alone Laboratory. These have been added.
The ability to export to an image is currently in progress. Further in the future considerations are to add the ability for custom parts.