`new function()` with lower case "f" in JavaScript

I've seen that technique before, it's valid, you are using a function expression as if it were a Constructor Function.

But IMHO, you can achieve the same with an auto-invoking function expression, I don't really see the point of using the new operator in that way:

var someObj = (function () {
    var instance = {},
        inner = 'some value';

    instance.foo = 'blah';

    instance.get_inner = function () {
        return inner;
    };

    instance.set_inner = function (s) {
        inner = s;
    };

    return instance;
})();

The purpose of the new operator is to create new object instances, setting up the [[Prototype]] internal property, you can see how this is made by the [Construct] internal property.

The above code will produce an equivalent result.

Your code is just similar to the less weird construct

function Foo () {
    var inner = 'some value';
    this.foo = 'blah';

    ...
};
var someObj = new Foo;