Arduino AP wifi

I have a project in which I need to do the following: make an arduino one with some wifi module serve as an AP for several devices (example: phones) to connect to it so that they can access the internet.

currently my model is:

Router with internet access (from a company x) <-- cable connection---> Arduino uno+ethernet shield+module wifi <--------> wifi phone (as end customer)

explanation: the Ethernet shield is used for the connection to the real router of a internet Company and the wifi module is used for get de Access to the end devide tha nedd a internet Access.

My questions is, it's possible to do that? and what module wifi recommend? you have a tutorial to do that?.

I'm open to new ideas thanks!!!!!

It depends on the level of internet you need to offer thru the Arduino
The Arduino will not give much bandwidth and will suffer with large data.

Not sure of the total project but have you thought of just using another wifi router or perhaps a wifi extender.

Or take a look at the ESP8266.

Although not directly compatible you may find some great info in there.

Wow, this old post nabbed 4 spam replies today. Haven't seen that before ...

I thought there was a few more Normal posts in the thread.
Surprised to see I was the only responder. Oh well.
I wonder how the project went.