I think that you are interested in launching the function not only every time the app is started, but also when the app is retrieved from the background (this means when your app is not closed, but it is running in the background although you are not interacting with it).
I suggest you use Cordova (former Phonegap) and take a look at the "resume" event. Using the example given there, I think you would need something like this:
<html>
<head>
<title>Cordova Resume Example</title>
<script type="text/javascript" charset="utf-8" src="cordova-1.7.0.js"></script>
<script type="text/javascript" charset="utf-8">
// Call onDeviceReady when Cordova is loaded.
// At this point, the document has loaded but cordova-1.7.0.js has not.
// When Cordova is loaded and talking with the native device,
// it will call the event `deviceready`.
function onLoad() {
document.addEventListener("deviceready", onDeviceReady, false);
}
// Cordova is loaded and it is now safe to make calls Cordova methods
function onDeviceReady() {
document.addEventListener("resume", onResume, false);
// Call the function you are interested in.
helloWorld();
}
// Handle the resume event
function onResume() {
helloWorld();
}
function helloWorld(){
alert('Hello World');
}
</script>
</head>
<body onload="onLoad()">
</body>
</html>
You may download the files you need here. I haven't test the code. Try it and let me know if it works for you.