After few previous beta version releases I am glad to introduce you to first relatively stable version of LuaStudio app.
Using this app you can create and run Lua 5.2 / LuaJIT 2.0.5 code on iOS, Android, Mac, Win devices. This development tool has many pre-compiled libraries, mostly related to OpenGL graphics. API documentation included.
Also you can download Exporter (v 1.1) project and export you code to native platform standalone applications.