Views mobile module provides a mechanism to switch the display of a view when in a mobile device.
In order to the module work you need to clone the display you want to provide a mobile version and update the display machine name to add the "_mobile" suffix.
e.g: If you have a block display named "featured". You have to clone the "Featured" display and update the machine name of the cloned diplay to "featured_mobile".
Having the mobile display set the module will take care of switching the display when the user is using a mobile device.