Is there any way for an iPad Air to output to the resolution of a 1080p TV (via HDMI converter) that is not app-specific?

I'm currently using an iPad Air with an adaptor that looks like this:
[![enter image description here](https://i.stack.imgur.com/ikxm1.png)](https://i.stack.imgur.com/ikxm1.png)

From the comments,
I am using a 16:9 screen, while the iPad is more of a 4:3 display.
As a result, there are black bars to the left and right when output to the television.