Is there any way to make edges corners become rounded? i'm a new blender i'm trying to making edges corners become rounded but i couldn't find any way to makes it.I tried to use Insert faces (shortcut I)
and Bevel but it didn't work as i expected,i don't know if i have missed something please give me an advice.

1.As you can see at first picture the red circles where i want it to be rounded
2.I want my corners to be rounded as second picture at red circles
Rounding the corners of the inset face cannot be done directly.

But you can extrude it and so have a "volume" that can be beveled.

 


Select the inset face
Extrude E
Go to edge select mode CtrTab
Select the edges
Bevel CtrlB (use mouse wheel or +/- from the numpad to choose the amount of bevel)
Once ok, remove the extrude face (select it then X then vertices)
Remake the original face: back to edge select mode CtrTab, then Alt select the border then F to make the face